diff --git a/docs/changelog/128746.yaml b/docs/changelog/128746.yaml
new file mode 100644
index 0000000000000..028713ada4828
--- /dev/null
+++ b/docs/changelog/128746.yaml
@@ -0,0 +1,5 @@
+pr: 128746
+summary: Fix computation of last block size in Azure concurrent multipart uploads
+area: Snapshot/Restore
+type: bug
+issues: []
diff --git a/modules/repository-azure/src/main/java/org/elasticsearch/repositories/azure/AzureBlobStore.java b/modules/repository-azure/src/main/java/org/elasticsearch/repositories/azure/AzureBlobStore.java
index 64c0478c529c3..d2a52a95c66e7 100644
--- a/modules/repository-azure/src/main/java/org/elasticsearch/repositories/azure/AzureBlobStore.java
+++ b/modules/repository-azure/src/main/java/org/elasticsearch/repositories/azure/AzureBlobStore.java
@@ -533,8 +533,9 @@ private static List<MultiPart> computeMultiParts(long totalSize, long partSize)
             return List.of(new MultiPart(0, makeMultipartBlockId(), 0L, totalSize, true));
         }
 
-        long lastPartSize = totalSize % partSize;
-        int parts = Math.toIntExact(totalSize / partSize) + (0L < lastPartSize ? 1 : 0);
+        long remaining = totalSize % partSize;
+        int parts = Math.toIntExact(totalSize / partSize) + (0L < remaining ? 1 : 0);
+        long lastPartSize = 0L < remaining ? remaining : partSize;
 
         long blockOffset = 0L;
         var list = new ArrayList<MultiPart>(parts);