Certainly there is more than one company named LCS Financial in the world.
Besides the point, weren't the dealerships credited, or am I missing something?
The "credited" dealership was LCS Financial, not Joe-Bob Chevrolet. Like, Jay said "furnished by LCS Financial Corporation".
They seemed to be using them quite a bit, and in some cases where they aren't using them, they don't have any dealership credited. For example, in the episode where Alan has reduced the board to $10,000 and Car, there was no dealership credit, either verbally or in the end-credits, suggesting that if he had won the Jeep on offer, it would have been unsponsored.
Given when the show was likely shot, and given that they don't list the model year in describing the vehicles, what I bet happened (and this is complete and utter speculation) is that LCS picked up some 1-year old, unsold "new" vehicles that were destined to be fleet cars and tried to flip them at their dealership.