https://blog.lastpass.com/2015/06/lastpass-security-notice.html/
Authentication hashes are what are used for account access. Changing your master password should be enough, though if you want to be completely sure your account wasn't accessed, you should also change all your stored passwords.
Or maybe take this moment to switch to http://keepass.info/index.html instead, which doesn't have these cloud problems. Though LastPass has handled this in a professional and appropriate manner (unlike other companies after they get hacked).