diff --git a/README.md b/README.md
index 17d29fce..018a07a9 100644
--- a/README.md
+++ b/README.md
@@ -4,13 +4,21 @@ This snap builds the GNOME-46-2404 runtime from the corresponding GNOME-46-2404-
 snap.
 
 By default, it will get the SDK from the store, from the CANDIDATE branch; but it is
-possible to use a different SDK (for example, one built locally), putting it in the
-project root folder, renaming it to `gnome-46-2404-sdk.snap`, and launching the
+possible to use a different SDK (for example, one built locally), by creating a folder
+called `base-gnome-sdk`, putting it inside, and launching the
 `local-build.py` script. It will create a new, modified `snapcraft.yaml` file in the,
 project's root, clean the snapcraft build environment, build the new snap, and restore
 the `snapcraft.yaml` file. This is useful if you do a change in the SDK and want
 to test it, to ensure that everything works as expected and nothing breaks.
 
+If the script finds several `snap` files inside the `base-gnome-sdk` folder, it will
+use the most recent one, based on the modification time of the file.
+
+Also, if the build must be done by an external script (like when using Github's CI),
+then it is possible to call the `local-build.py` script with the `--prepare-only`
+parameter. With it, it will just generate the modified `snapcraft.yaml` file in the
+project folder, nothing else.
+
 ## Getting the repository
 
 To get the repository, just run:
diff --git a/local-build.py b/local-build.py
index 08f57332..54d70d42 100755
--- a/local-build.py
+++ b/local-build.py
@@ -5,6 +5,7 @@
 import sys
 import os
 import yaml
+import glob
 
 def str_presenter(dumper, data):
     """configures yaml for dumping multiline strings
@@ -19,14 +20,24 @@ def str_presenter(dumper, data):
 
 BASE_CONFIG = 'snap/snapcraft.yaml'
 MODIFIED_CONFIG = 'snapcraft.yaml'
-SDK_FILE = 'gnome-46-2404-sdk.snap'
+BASE_SNAP_FOLDER = 'base-gnome-sdk'
+SDK_FILE = None
+PREPARE_ONLY_OPTION = '--prepare-only'
 
 # If there is a modified snapcraft.yaml, delete it before re-generating it
 if os.path.exists(f'./{MODIFIED_CONFIG}'):
     os.remove(f'./{MODIFIED_CONFIG}')
 
-if not os.path.exists(f'./{SDK_FILE}'):
-    print(f'There is no valid "{SDK_FILE}" file. Aborting.', file=sys.stderr)
+last_time = None
+# If there are more than one snap, use the most recent one
+for fullpath in glob.glob(os.path.join(BASE_SNAP_FOLDER, "*.snap")):
+    now_time = os.path.getmtime(fullpath)
+    if (last_time is None) or (now_time > last_time):
+        SDK_FILE = fullpath
+        last_time = now_time
+
+if SDK_FILE is None:
+    print(f'There is no valid SDK file in the {BASE_SNAP_FOLDER} folder. Aborting.', file=sys.stderr)
     sys.exit(1)
 
 with open(f'./{BASE_CONFIG}', "r") as config_file:
@@ -46,10 +57,9 @@ def str_presenter(dumper, data):
 try:
     with open(f'./{MODIFIED_CONFIG}', "w") as config_file:
         config_file.write(yaml.dump(config, Dumper=yaml.Dumper))
-    if "--prepare-only" in sys.argv:
-        sys.exit(0)
-
-    os.system('snapcraft clean')
-    os.system('snapcraft pack -v')
+    if PREPARE_ONLY_OPTION not in sys.argv:
+        os.system('snapcraft clean')
+        os.system('snapcraft pack -v')
 finally:
-    os.remove(f'./{MODIFIED_CONFIG}')
+    if PREPARE_ONLY_OPTION not in sys.argv:
+        os.remove(f'./{MODIFIED_CONFIG}')