That totally depends on what it is driving, fan-out on outputs, etc. Remember that while the LS series don't suck nearly much input current as plain 74 series, they also have limited output source/sink capability.
The data sheets tell you all of this. You need to look at the circuit to see what it is driving on each output and see if the LS121 has enough oomph. If not, you could change some of the chips it is driving to LS also but then you need to check everything else downstream of those, etc... or just get a standard 74121 and be done with it.

Digikey stocks them.
Edit: Actually, I don't even remember seeing an
LS121 anywhere, ever. I have several 74121s in my logic chip drawer but no 74LS121s and it I don't see a data sheet for an LS anywhere in any of my data books or anywhere online.
Are you
sure the local one you have available is really LS?