diff --git a/src/lightning/pytorch/CHANGELOG.md b/src/lightning/pytorch/CHANGELOG.md
index 0c4f491186f83..273c60a459fd4 100644
--- a/src/lightning/pytorch/CHANGELOG.md
+++ b/src/lightning/pytorch/CHANGELOG.md
@@ -43,7 +43,8 @@ The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/).
 - Fixed an issue with CSVLogger trying to append to file from a previous run when the version is set manually ([#19446](https://github.com/Lightning-AI/lightning/pull/19446))
 
 
--
+- Fixed the divisibility check for `Trainer.accumulate_grad_batches` and `Trainer.log_every_n_steps` in ThroughputMonitor ([#19470](https://github.com/Lightning-AI/lightning/pull/19470))
+
 
 -
 
diff --git a/src/lightning/pytorch/callbacks/throughput_monitor.py b/src/lightning/pytorch/callbacks/throughput_monitor.py
index 71a85e431bb7d..a2d73d83184b1 100644
--- a/src/lightning/pytorch/callbacks/throughput_monitor.py
+++ b/src/lightning/pytorch/callbacks/throughput_monitor.py
@@ -93,21 +93,10 @@ def setup(self, trainer: "Trainer", pl_module: "LightningModule", stage: str) ->
         dtype = _plugin_to_compute_dtype(trainer.precision_plugin)
         self.available_flops = get_available_flops(trainer.strategy.root_device, dtype)
 
-        if stage == TrainerFn.FITTING:
-            if trainer.accumulate_grad_batches % trainer.log_every_n_steps != 0:
-                raise ValueError(
-                    "The `ThroughputMonitor` only logs when gradient accumulation is finished. You set"
-                    f" `Trainer(accumulate_grad_batches={trainer.accumulate_grad_batches},"
-                    f" log_every_n_steps={trainer.log_every_n_steps})` but these are not divisible and thus will not"
-                    " log anything."
-                )
-
-            if trainer.enable_validation:
-                # `fit` includes validation inside
-                throughput = Throughput(
-                    available_flops=self.available_flops, world_size=trainer.world_size, **self.kwargs
-                )
-                self._throughputs[RunningStage.VALIDATING] = throughput
+        if stage == TrainerFn.FITTING and trainer.enable_validation:
+            # `fit` includes validation inside
+            throughput = Throughput(available_flops=self.available_flops, world_size=trainer.world_size, **self.kwargs)
+            self._throughputs[RunningStage.VALIDATING] = throughput
 
         throughput = Throughput(available_flops=self.available_flops, world_size=trainer.world_size, **self.kwargs)
         stage = trainer.state.stage
diff --git a/tests/tests_pytorch/callbacks/test_throughput_monitor.py b/tests/tests_pytorch/callbacks/test_throughput_monitor.py
index 74be939da671c..9467e45e2fa80 100644
--- a/tests/tests_pytorch/callbacks/test_throughput_monitor.py
+++ b/tests/tests_pytorch/callbacks/test_throughput_monitor.py
@@ -160,7 +160,8 @@ def test_throughput_monitor_fit_no_length_fn(tmp_path):
     ]
 
 
-def test_throughput_monitor_fit_gradient_accumulation(tmp_path):
+@pytest.mark.parametrize("log_every_n_steps", [1, 3])
+def test_throughput_monitor_fit_gradient_accumulation(log_every_n_steps, tmp_path):
     logger_mock = Mock()
     logger_mock.save_dir = tmp_path
     monitor = ThroughputMonitor(length_fn=lambda x: 3 * 2, batch_size_fn=lambda x: 3, window_size=4, separator="|")
@@ -174,26 +175,8 @@ def test_throughput_monitor_fit_gradient_accumulation(tmp_path):
         limit_train_batches=5,
         limit_val_batches=0,
         max_epochs=2,
-        log_every_n_steps=3,
+        log_every_n_steps=log_every_n_steps,
         accumulate_grad_batches=2,
-        num_sanity_val_steps=2,
-        enable_checkpointing=False,
-        enable_model_summary=False,
-        enable_progress_bar=False,
-    )
-    with pytest.raises(ValueError, match="not divisible"):
-        trainer.fit(model)
-
-    trainer = Trainer(
-        devices=1,
-        logger=logger_mock,
-        callbacks=monitor,
-        limit_train_batches=5,
-        limit_val_batches=0,
-        max_epochs=2,
-        log_every_n_steps=1,
-        accumulate_grad_batches=2,
-        num_sanity_val_steps=2,
         enable_checkpointing=False,
         enable_model_summary=False,
         enable_progress_bar=False,
@@ -211,9 +194,19 @@ def test_throughput_monitor_fit_gradient_accumulation(tmp_path):
         "train|device|flops_per_sec": 10.0,
         "train|device|mfu": 0.1,
     }
-    assert logger_mock.log_metrics.mock_calls == [
+
+    all_log_calls = [
         call(
-            metrics={"train|time": 2.5, "train|batches": 2, "train|samples": 6, "train|lengths": 12, "epoch": 0}, step=0
+            metrics={
+                # The very first batch doesn't have the *_per_sec metrics yet
+                **(expected if log_every_n_steps > 1 else {}),
+                "train|time": 2.5,
+                "train|batches": 2,
+                "train|samples": 6,
+                "train|lengths": 12,
+                "epoch": 0,
+            },
+            step=0,
         ),
         call(
             metrics={
@@ -271,6 +264,8 @@ def test_throughput_monitor_fit_gradient_accumulation(tmp_path):
             step=5,
         ),
     ]
+    expected_log_calls = all_log_calls[(log_every_n_steps - 1) :: log_every_n_steps]
+    assert logger_mock.log_metrics.mock_calls == expected_log_calls
 
 
 @pytest.mark.parametrize("fn", ["validate", "test", "predict"])