Take a good look at the privacy policy before you install this! Please note that you are also giving privacy permissions to this app related to Google and related to LogMeIn.com
All of this looks legitimate. However, as with Google and Facebook, LogMeIn seeks to combine information collected through the app with information about me which that company will collect FROM OTHER SOURCES. Even if it's mostly for app functionality and marketing purposes. I don't need any more advertising or spam than I already get!

See for yourself:
https://addons.mozilla.org/en-US/firefox/addon/lastpass-password-manager/privacy/