LiteSpeed must be installed on each server.
The steps are also documented in the Help file for LiteSpeed (keyword to search = 'remote').
From LiteSpeed Enterprise Console select File | Remote Registration | Generate Activation Keys for Remote Servers, select the servers and a spreadsheet with Activation keys will be generated. The spreadsheet created by the process uses Excel, so Excel application must be loaded on the client initiating the process (Microsoft Office may not be installed on the servers). The resulting spreadsheet should be returned to license@quest.com. The Licensing Department will generate the License keys and return the spreadsheet. Follow the same process, selecting "Register Remote Servers", select the spreadsheet containing the License keys.
For additional info, see Solution 16474:
https://support.quest.com/SUPPORT/index?page=solution&id=SOL16474