Well, neither of them is Critical Reasoning on the GMAT! But, Logical Reasoning on LSAT is like Critical Reasoning on the GMAT.
Analytical Reasoning is definitely not - analytical reasoning is what is known as the "Games" section of the LSAT. This section is crazy fun. For example you have six different cars lined up at the car wash. They give you some clues and you figure out what order the cars are in...there is nothing on the GMAT remotely similar to this. (Although it is sort of like a permutation except that you actually figure out where they go).
Please see the following links for using the LSAT to study for the GMAT.