If configuring the central and local repository during the instance configuration process and selecting the local/central repositories of an already existing custom database, LiteSpeed creates all it's tables in the PRIMARY filegroup and not in the default filegroup of that database.
(The primary filegroup should contain only the system information and the second filegroup (configured as the default filegroup) the application data resp. tables.
The primary filegroup is configured very small and also with autogrowth.)
Enhancement request CR 71886 has been submitted to Development for consideration in a future release of Litespeed for SQL Server.