That's a lie.If they have stored your password in a database,how come they can't access it ? Assuming they can't access it,how would you access it if required ? If it goes to a database,it is more vulnerable than anything else.
https://lastpass.com/support.php?cmd=showfaq&id=6926LastPass encrypts your Vault before it goes to the server using 256-bit AES encryption. Since the Vault is already encrypted before it leaves your computer and reaches the LastPass server, not even LastPass employees can see your sensitive data!
There is a master password that you need to remember which is used to encrypt your vault.