The stability of the application. LogMeIn adapts quite well to the perpetually changing environment of our user base. Change a computer name? No problem - LogMeIn will update its list accordingly. Assign the pc to a different user? Again no worries - LogMeIn makes it very easy to rename and track owners and their devices. Furthermore, if you have one of the more advanced subscriptions then you can deploy software packages and security updates via scheduled automated deployment tools.
Initial deployment is clunky and tedious on the lower end subscriptions (copy and paste a download link). However, the more advanced subscriptions offer more initial deployment options.
If you're looking for a remote support solution - then you can't go wrong with LogmeIn. Even with its few shortcomings - there are very few contemporaries that offer the same functionality.
As an occasional IT desktop admin - LogMeIn is an invaluable tool which allows me to support far more users than I could ever do without. With the built in tools including a mobile app - I can support the user base from everywhere and anywhere.