diff --git a/pandas/core/dtypes/cast.py b/pandas/core/dtypes/cast.py
index 6ba07b1761557..0bb8d73bdc508 100644
--- a/pandas/core/dtypes/cast.py
+++ b/pandas/core/dtypes/cast.py
@@ -1410,7 +1410,11 @@ def np_find_common_type(*dtypes: np.dtype) -> np.dtype:
     """
     try:
         common_dtype = np.result_type(*dtypes)
-        if common_dtype.kind in "mMSU":
+        # GH 59609
+        # Float point precision error when converting int64 and uint64
+        if common_dtype.kind in "mMSU" or common_dtype.kind not in [
+            dtype.kind for dtype in dtypes
+        ]:
             # NumPy promotion currently (1.25) misbehaves for for times and strings,
             # so fall back to object (find_common_dtype did unless there
             # was only one dtype)
diff --git a/pandas/tests/dtypes/cast/test_find_common_type.py b/pandas/tests/dtypes/cast/test_find_common_type.py
index 83ef7382fbe8a..47e37fef52201 100644
--- a/pandas/tests/dtypes/cast/test_find_common_type.py
+++ b/pandas/tests/dtypes/cast/test_find_common_type.py
@@ -31,13 +31,15 @@
         ((np.float16, np.float32), np.float32),
         ((np.float16, np.int16), np.float32),
         ((np.float32, np.int16), np.float32),
-        ((np.uint64, np.int64), np.float64),
         ((np.int16, np.float64), np.float64),
         ((np.float16, np.int64), np.float64),
         # Into others.
         ((np.complex128, np.int32), np.complex128),
         ((object, np.float32), object),
         ((object, np.int16), object),
+        # GH 59609
+        # Float point precision error when converting int64 and uint64
+        ((np.uint64, np.int64), object),
         # Bool with int.
         ((np.dtype("bool"), np.int64), object),
         ((np.dtype("bool"), np.int32), object),
@@ -156,8 +158,12 @@ def test_interval_dtype(left, right):
         # i.e. numeric
         if right.subtype.kind in ["i", "u", "f"]:
             # both numeric -> common numeric subtype
-            expected = IntervalDtype(np.float64, "right")
-            assert result == expected
+            if (left.subtype.kind, right.subtype.kind) in [("i", "u"), ("u", "i")]:
+                assert result == object
+            else:
+                expected = IntervalDtype(np.float64, "right")
+                assert result == expected
+
         else:
             assert result == object