They are both on the same OS but when viwing the application manager i do not have an option to download the latest version on lets say mac 1
So the Apps views of the desktop CC app shows Open like mine, and not Update, even though when you open InDesign and chose InDesign > About InDesign it shows an earlier release?
You might try logging out of the CC app (use the little gray gear icon on the top right corner), and then logging back in. Speaking of the gear icon, is there a CC desktop app update on Mac1?
I know a lot (many half) of my students don't have admin rights and therefore are not allowed to update. I'm assuming that isn't an issue on your systems?