Lamar Odom Did NOT Disinherit Khloe Kardashian

Khloe Kardashian is at Lamar Odom's bedside because she cares about him, and we've learned Lamar has not let divorce get in the way of his feelings, because she stands to inherit a big chunk of his fortune.

As we reported, Khloe and Lamar had a prenup, separating her money from his. Multiple sources familiar with the situation tell us Lamar does not have a will. Under the laws of California, if he were to die, Khloe would be entitled to 1/3 of Lamar's personal fortune. His kids would get the remaining 2/3.

There's no fighting it ... the law is the law. We're told Khloe doesn't care about his money or want it, but the fact is, she's still his wife and she gets 1/3.

Our sources also say Lamar has several life insurance trusts, making both Khloe and his kids beneficiaries.

By the way, some prenups provide that each spouse is disinherited from the other, but we're told that isn't the case with Khloe and Lamar.