diff --git a/CHANGELOG.rst b/CHANGELOG.rst
index 08454b7..a49dff1 100644
--- a/CHANGELOG.rst
+++ b/CHANGELOG.rst
@@ -6,6 +6,7 @@ Changelog
 
 **Features:**
 
+- Add optional reduced memory operation `-m` `--min-memory`
 - Add base log path option: `-b` `--log-base`.
 - Log postfix option: `-p` `--log-postfix`.
 - Auto alias generation: `-a` `--alias-level`.
diff --git a/oslogmerger/oslogmerger.py b/oslogmerger/oslogmerger.py
index ab63d52..b6879be 100644
--- a/oslogmerger/oslogmerger.py
+++ b/oslogmerger/oslogmerger.py
@@ -180,24 +180,24 @@ class OpenStackLog:
 def process_logs_limit_memory_usage(logs):
     oslogs = [iter(log) for log in logs]
 
-    for log in oslogs:
-        next(log)
+    def process_entry(entry_iterable):
+        try:
+            next(entry_iterable)
+        except StopIteration:
+            # There are no more entries in the iterable, we can remove it
+            # from the list to process
+            oslogs.remove(entry_iterable)
 
-    while True:
-        entry = min(oslogs)
-        result = entry.peek()
+    for log in oslogs:
+        process_entry(log)
+
+    while oslogs:
+        entry_iterable = min(oslogs)
+        result = entry_iterable.peek()
         if result is None:
             break
         yield result
-        try:
-            next(entry)
-        except StopIteration:
-            # We don't need to remove the entry, since the code works with
-            # files that have reached the end, but there is no point in keep
-            # checking a file that has already reached the EOF.
-            oslogs.remove(entry)
-            if not oslogs:
-                break
+        process_entry(entry_iterable)
 
 
 def process_logs_memory_hog(logs):