It can be quite frustrating when you need to sign out of your Apple ID on your Mac, but you don't have the password. However, there are a few steps you can take to work around this situation:

1. Go to the Apple menu and choose 'System Preferences'.
2. Click on 'Apple ID'.
3. Next to your Apple ID, click 'Overview'.
4. At the bottom of the window, click 'Sign Out'.
5. When prompted, enter your Mac's administrator password.
6. Confirm that you want to sign out.
7. After signing out, you can sign back in with a different Apple ID.

Remember that signing out of your Apple ID may have implications for various services and apps on your Mac, so make sure you understand the consequences before proceeding.