Remote computer shuts off if LogMeIn times out

I can leave my home desktop on indefinitely, and it won't shut down unless I manually do it.  But when I use LogMeIn remotely lately on my laptop, my home desktop shuts down if I walk away from the laptop long enough for LogMeIn to time out.  That means I have to get someone at home to go turn the desktop back on.  Is there some process to prevent this in LogMeIn?  Even if LogMeIn times out, I'd like the home computer to stay on so I can log in again another time.