The factory option limited slip diff was called the "Gov-Lok" by GM, or listed as a locking differential on the option sheet. I really wouldn't consider it a true locker as it definitely not in the same class as the Detroit Locker or Lock-Rite. The Gov-Lok has a reputation for failing and being rather ineffective, though some people have had good luck with them.
The factory owner's manual states that a limited slip additive should be added to the standard 80w-90 gear oil. The additive contains a friction modifier that is supposed to make the clutches operate smoother and more effectively.
Concerning the Lock-Rite, I have never heard of them being used in military trucks. The mid-80's GM military pickups had a Detroit Locker installed in the rear 14-bolt axle, and I believe the military Blazers (CUCV's) used the standard Gov-Lok in the rear 12-bolt axle.