diff --git a/jax/_src/numpy/lax_numpy.py b/jax/_src/numpy/lax_numpy.py
index ffb031a5f2bc..5a5511b785c3 100644
--- a/jax/_src/numpy/lax_numpy.py
+++ b/jax/_src/numpy/lax_numpy.py
@@ -3364,13 +3364,6 @@ def trace(a: ArrayLike, offset: int = 0, axis1: int = 0, axis2: int = 1,
   dtypes.check_user_dtype_supported(dtype, "trace")
 
   a_shape = shape(a)
-  if dtype is None:
-    dtype = _dtype(a)
-    if issubdtype(dtype, integer):
-      default_int = dtypes.canonicalize_dtype(int)
-      if iinfo(dtype).bits < iinfo(default_int).bits:
-        dtype = default_int
-
   a = moveaxis(a, (axis1, axis2), (-2, -1))
 
   # Mask out the diagonal and reduce.
diff --git a/jax/_src/numpy/reductions.py b/jax/_src/numpy/reductions.py
index 8c5594cb4541..a6f4e1f7b8e8 100644
--- a/jax/_src/numpy/reductions.py
+++ b/jax/_src/numpy/reductions.py
@@ -26,7 +26,7 @@
 
 from jax import lax
 from jax._src import api
-from jax._src import core, config
+from jax._src import core
 from jax._src import dtypes
 from jax._src.numpy import ufuncs
 from jax._src.numpy.util import (
@@ -65,6 +65,20 @@ def _upcast_f16(dtype: DTypeLike) -> DType:
     return np.dtype('float32')
   return np.dtype(dtype)
 
+def _promote_integer_dtype(dtype: DTypeLike) -> DTypeLike:
+  # Note: NumPy always promotes to 64-bit; jax instead promotes to the
+  # default dtype as defined by dtypes.int_ or dtypes.uint.
+  if dtypes.issubdtype(dtype, np.bool_):
+    return dtypes.int_
+  elif dtypes.issubdtype(dtype, np.unsignedinteger):
+    if np.iinfo(dtype).bits < np.iinfo(dtypes.uint).bits:
+      return dtypes.uint
+  elif dtypes.issubdtype(dtype, np.integer):
+    if np.iinfo(dtype).bits < np.iinfo(dtypes.int_).bits:
+      return dtypes.int_
+  return dtype
+
+
 ReductionOp = Callable[[Any, Any], Any]
 
 def _reduction(a: ArrayLike, name: str, np_fun: Any, op: ReductionOp, init_val: ArrayLike,
@@ -103,16 +117,7 @@ def _reduction(a: ArrayLike, name: str, np_fun: Any, op: ReductionOp, init_val:
   result_dtype = dtype or dtypes.dtype(a)
 
   if dtype is None and promote_integers:
-    # Note: NumPy always promotes to 64-bit; jax instead promotes to the
-    # default dtype as defined by dtypes.int_ or dtypes.uint.
-    if dtypes.issubdtype(result_dtype, np.bool_):
-      result_dtype = dtypes.int_
-    elif dtypes.issubdtype(result_dtype, np.unsignedinteger):
-      if np.iinfo(result_dtype).bits < np.iinfo(dtypes.uint).bits:
-        result_dtype = dtypes.uint
-    elif dtypes.issubdtype(result_dtype, np.integer):
-      if np.iinfo(result_dtype).bits < np.iinfo(dtypes.int_).bits:
-        result_dtype = dtypes.int_
+    result_dtype = _promote_integer_dtype(result_dtype)
 
   result_dtype = dtypes.canonicalize_dtype(result_dtype)
 
@@ -663,7 +668,8 @@ def __call__(self, a: ArrayLike, axis: Axis = None,
 """
 
 def _make_cumulative_reduction(np_reduction: Any, reduction: Callable[..., Array],
-                               fill_nan: bool = False, fill_value: ArrayLike = 0) -> CumulativeReduction:
+                               fill_nan: bool = False, fill_value: ArrayLike = 0,
+                               promote_integers: bool = False) -> CumulativeReduction:
   @implements(np_reduction, skip_params=['out'],
           lax_description=CUML_REDUCTION_LAX_DESCRIPTION)
   def cumulative_reduction(a: ArrayLike, axis: Axis = None,
@@ -691,12 +697,18 @@ def _cumulative_reduction(a: ArrayLike, axis: Axis = None,
     if fill_nan:
       a = _where(lax_internal._isnan(a), _lax_const(a, fill_value), a)
 
-    if not dtype and dtypes.dtype(a) == np.bool_:
-      dtype = dtypes.canonicalize_dtype(dtypes.int_)
-    if dtype:
-      a = lax.convert_element_type(a, dtype)
+    result_type: DTypeLike = dtypes.dtype(dtype or a)
+    if dtype is None and promote_integers or dtypes.issubdtype(result_type, np.bool_):
+      result_type = _promote_integer_dtype(result_type)
+    result_type = dtypes.canonicalize_dtype(result_type)
+
+    a = lax.convert_element_type(a, result_type)
+    result = reduction(a, axis)
 
-    return reduction(a, axis)
+    # We downcast to boolean because we accumulate in integer types
+    if dtypes.issubdtype(dtype, np.bool_):
+      result = lax.convert_element_type(result, np.bool_)
+    return result
 
   return cumulative_reduction
 
@@ -707,6 +719,9 @@ def _cumulative_reduction(a: ArrayLike, axis: Axis = None,
                                        fill_nan=True, fill_value=0)
 nancumprod = _make_cumulative_reduction(np.nancumprod, lax.cumprod,
                                         fill_nan=True, fill_value=1)
+_cumsum_with_promotion = _make_cumulative_reduction(
+  np.cumsum, lax.cumsum, fill_nan=False, promote_integers=True
+)
 
 @implements(getattr(np, 'cumulative_sum', None))
 def cumulative_sum(
@@ -730,12 +745,7 @@ def cumulative_sum(
 
   axis = _canonicalize_axis(axis, x.ndim)
   dtypes.check_user_dtype_supported(dtype)
-  kind = x.dtype.kind
-  if (dtype is None and kind in {'i', 'u'}
-      and x.dtype.itemsize*8 < int(config.default_dtype_bits.value)):
-    dtype = dtypes.canonicalize_dtype(dtypes._default_types[kind])
-  x = x.astype(dtype=dtype or x.dtype)
-  out = cumsum(x, axis=axis)
+  out = _cumsum_with_promotion(x, axis=axis, dtype=dtype)
   if include_initial:
     zeros_shape = list(x.shape)
     zeros_shape[axis] = 1
diff --git a/jax/experimental/array_api/_data_type_functions.py b/jax/experimental/array_api/_data_type_functions.py
index 988840c31381..248c1c6dd0fe 100644
--- a/jax/experimental/array_api/_data_type_functions.py
+++ b/jax/experimental/array_api/_data_type_functions.py
@@ -76,18 +76,3 @@ def finfo(type, /) -> FInfo:
     smallest_normal=float(info.smallest_normal),
     dtype=jnp.dtype(type)
   )
-
-# TODO(micky774): Update utility to only promote integral types
-def _promote_to_default_dtype(x):
-  if x.dtype.kind == 'b':
-    return x
-  elif x.dtype.kind == 'i':
-    return x.astype(jnp.int_)
-  elif x.dtype.kind == 'u':
-    return x.astype(jnp.uint)
-  elif x.dtype.kind == 'f':
-    return x.astype(jnp.float_)
-  elif x.dtype.kind == 'c':
-    return x.astype(jnp.complex_)
-  else:
-    raise ValueError(f"Unrecognized {x.dtype=}")
diff --git a/tests/lax_numpy_reducers_test.py b/tests/lax_numpy_reducers_test.py
index 6c7ea59ef2d0..861b9014c589 100644
--- a/tests/lax_numpy_reducers_test.py
+++ b/tests/lax_numpy_reducers_test.py
@@ -791,13 +791,8 @@ def testCumulativeSum(self, shape, axis, dtype, out_dtype, include_initial):
     rng = jtu.rand_some_zero(self.rng())
 
     def np_mock_op(x, axis=None, dtype=None, include_initial=False):
-      kind = x.dtype.kind
-      if (dtype is None and kind in {'i', 'u'}
-          and x.dtype.itemsize*8 < int(config.default_dtype_bits.value)):
-        dtype = dtypes.canonicalize_dtype(dtypes._default_types[kind])
       axis = axis or 0
-      x = x.astype(dtype=dtype or x.dtype)
-      out = jnp.cumsum(x, axis=axis)
+      out = np.cumsum(x, axis=axis, dtype=dtype or x.dtype)
       if include_initial:
         zeros_shape = list(x.shape)
         zeros_shape[axis] = 1