If you are using the latest version of the terrible, slow, web-based remote support application LogMeIn free for mac then all you need to do to remove it is go to “Applications” -> LogMeIn -> and double click on the LogMeInUninstaller. When the Uninstaller comes up, just click on “Yes” to uninstall it.
If you are using an older version of LogMeIn then you will need to go to the following directory:
This will open up a terminal and prompt you for your Mac username and password and then uninstall LogMeIn from your system.
Either way, you need to reboot your system after both methods.