I've taught both LSAT and GMAT. The GMAT critical reasoning is subtly different. I would suggest you confine your studies to GMAT style questions. Remember, "harder" isn't by definition "better." I mean, you could also do a bunch of calculus .... It isn't on the GMAT, but it sure is harder than the GMAT!
If you study LSAT questions, you face three problems:
1. You'll get used to the LSAC's style of writing, which is different from the GMAC's.
2. You'll waste time and energy studying questions that are twice as hard as anything you'll see on the GMAT.
3. You'll begin overthinking everything because you're used to studying super hard stuff.
I know I don't have an "expert" tag next to my name, but I've been doing this for a full-time job for more than eight years. You need to do what's right for you, but I suggest that you at least consider my advice.