You don't need any special oil if it's the standard LSD box, a normal 75w-90 oil will do. You can go with redline, motul, etc. This has been covered before.
So to clarify this the standard LSD box comes with a Viscous type LSD, they are sealed units. So different oil won't affect it. You'll only need a special oil when using Clutch-type lsd (ex. cusco, trd mechanical, etc.) Hope this helps mate!