If, on your Apple ID page, you see your iCloud.com address listed just below your Apple ID email address, then it is, in fact, the same as your Apple ID, and as for passwords, it is the same password.
Now, if you have a password for the email account that is used by your Apple ID email address, that is not the same as your Apple ID account. So, if that's what you mean, then fine.
But in terms of an Apple ID account and the password that goes with that Apple ID account, it is the same for the Apple ID as it is for the iCloud.com version of the Apple ID. They are the same account, the same password.
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