Providing ya not goning hammering it ul be fine 4 a while. LSD is to stop the spinning or try to "limit" spinning. You can put more strain on joints etc but it wont nes brake sumthing jsut by driving it.

For example some people put diesel gearboxs in and there no lsd in them. If you got the time and money then put a new box in with lsd. Wouldt overly panik about it tho.