for LSD you should use only for LSD designed oil..
like valvoline
HP Gear Oil GL-5 LS
Applicable where an API GL-5 limited slip gear oil is specified
Available in a 80W-90 viscosity grade
motul
Gear Competition
100% Synthetic
Specially formulated for gearboxes and limited-slip differential of racing cars. Excellent stability at high temperatures.
MOTUL exclusive technology approved in extreme endurance racing conditions : 24H du Mans, japanese GT Championship, on HEWLAND and X-TRAC gearboxes.
API GL-5
Hypo BM LS
A lubricant specially designed for BMW limited slip differentials up to 31/12/93.
Extremely high lubricating power to reduce friction.
Extreme pressure resistance, anti-wear, anti-corrosion, anti-froth.
API GL4 and GL5/MIL-L-2105D/BMW
castrol
Castrol Hypoy LS
Mineral based, SAE 90 extreme pressure gear oil designed to cope with the special friction characteristics of limited slip differentials fitted to road going cars
Castrol B373
Mineral based extreme pressure gear oil which combines limited slip performance with excellent load carrying ability.
It is particularly suitable for use in limited slip differentials fitted to Race or Rally competition vehicles
Castrol SAF-XJ
Fully synthetic SAE 75W-140 hypoid gear oil, formulated for use in both conventional and limited slip differentials
and so on..