I have multiple licenses of CS6 and need to know which license is loaded on which computer. Isn't there a way to see the license number from within the application?

I have multiple copies of CS6 on multiple computers and need to know which serial number is loaded on which computer. Isn't there a way to see the serial number from within the application? I need to uninstall one serial number from an old computer to install it on a new computer, but I don't know which serial number goes with which machine. Sending me to the "find your serial number" page only tells me what my serial numbers are and I already know that. Any ideas without playing the trial and error game?