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If someone malicously put a keystroke recorder on my computer would they be able to see the master password for LastPass when I enter it?
Yes, they could record your master password, unless you're using the online keyboard: http://helpdesk.lastpass.com/security-options/virtual-keyboard/ for more information.
Another option is multifactor authentication, including:
Even if someone grabbed your master password, the second authentication method would prevent them from gaining access to your account.