Rear axle nuts loose after spring instal?

Hey so just got some springs installed a couple weeks ago and now today went to get my new wheels and tires put on. The tech informed me I had a little play in the rear end (lose axle nut) car only has 17k miles so this shouldn’t be. He hit it with his impact to see if that’s what it was and it tightened it right up. So now I need to get this addressed. I know I will need new axle nuts and to have them torques to spec. Anyone have a cliff notes of how exactly I need to do this? Is it as easy as removing it placing the new one on with blue loc tite and torquing it? Thanks for any and all help.

DITTO ^^^^......also you may need to slide a tool of your choice through the capiler and into the rotor fins to keep it from rotating.

Awesome thanks guys. Will be handling this Thursday.