Photoshop version 6 was released 21 years ago. Windows Me, Windows XP, Mac OSX 10.0 Cheeta Time Frame. Which of these OS version are you running and have a problem with Photoshop 6? Did you try resetting your Photoshop 6 preferences. Resetting Preferences is the first thing you should do when Photoshop stops working correctly. Corrupt Preferences can case all sorts of Photoshop problems.
I do no install Lightroom I do not know what you should do when Lightroom stop working. Check to see if its library databases are intact.