Vera, I use 1Password so I don’t know if LastPass is exactly the same. For 1Password, I have a master password that I save on a password-secured document in my dropbox for easy access. The password to open the document is one I can recall without too much trouble. To log into 1Password all day, I use another password (not the master, obviously) that I can also recall. Lately I’ve been using a string of unrelated words and I try not to re-use passwords from one site to another when it’s a financial site. Short answer is that I wouldn’t let the Mac store it.
Great seeing you in Savannah, Vera! Happy holidays!