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Lamar Odom emerged Tuesday, after reportedly being holed up in a Palm Springs home with two women and a friend freebasing cocaine ... and he's looking emaciated and strung out.

The (former) NBA baller left the Tarzana home he shares(ed) with Khloe Kardashian around noon and headed toward UCLA Hospital after he left.

Lamar SPENT THE NIGHT with Khloe -- who knows if they shared a bed, as it was just days ago we broke the news that she is selling the home (she's set to officially list it in two weeks). Maybe she'll have a change of heart?

Our photographer on the scene tells us:

    "When Lamar left the house, he was kind of out of it. He didn't look happy and he looked really tired, like he hadn't slept all night."

So far the couple has yet to make any announcement about the fate of their four-year marriage.