diff --git a/moto/logs/models.py b/moto/logs/models.py
index 92638925e..3f244b060 100644
--- a/moto/logs/models.py
+++ b/moto/logs/models.py
@@ -420,11 +420,13 @@ class LogGroup(CloudFormationModel):
             resource_name, tags, **properties
         )
 
+    def delete(self, account_id: str, region_name: str) -> None:
+        backend = logs_backends[account_id][region_name]
+        backend.delete_log_group(self.name)
+
     @classmethod
     def has_cfn_attr(cls, attr: str) -> bool:
-        return attr in [
-            "Arn",
-        ]
+        return attr in ["Arn"]
 
     def get_cfn_attribute(self, attribute_name: str) -> str:
         from moto.cloudformation.exceptions import UnformattedGetAttTemplateException
diff --git a/tests/test_logs/test_logs_cloudformation.py b/tests/test_logs/test_logs_cloudformation.py
index 2edb8f9ef..ab39d682e 100644
--- a/tests/test_logs/test_logs_cloudformation.py
+++ b/tests/test_logs/test_logs_cloudformation.py
@@ -28,3 +28,6 @@ def test_tagging():
     arn = logs_client.describe_log_groups()["logGroups"][0]["arn"]
     tags = logs_client.list_tags_for_resource(resourceArn=arn)["tags"]
     assert tags == {"foo": "bar"}
+
+    cf_client.delete_stack(StackName="test_stack")
+    assert logs_client.describe_log_groups()["logGroups"] == []