Hi Guy!
You can certainly use Logic for this! Garageband should work fine too.
I know there are some other tools available that make this process a bit easier, but to be quite honest, I'm not sure what they are ... maybe somebody else can pipe-in here ...
I've been spending the last several years digitising my record collection from when I used to DJ in the 90s ... it is a tedious and time consuming process ... but it sounds really cool in the end because you get the "vinyl" sound in your digital recordings.