I have LastPass installed and thought the binary component was only for native desktop applications and not for their extension. I do not recall installing any binary components for the LastPass Chrome extension, but it's been awhile....
It's worth noting that LastPass for a specific browser and LastPass for Desktop work differently.
On the LP FF or LP Chrome it's only listening to that program. On desktop it's trying to listen to all browsers at the same time and watching for other apps it recognizes.
It would make sense if LP Desktop had a broader attack surface.