This will fit your LC.
There will be an improvement but not worth over £100 if you can get them.
I paid £75 including delivery for mine then resold these for the same.
The LCR sits 11mm lower than the LC
 
Plus at 60k, how much life left in them!!! Alot of hassle to fit old shocks...I just did this having said that, with same setup but the ones i bought had only done 40k....It sorted my cupra out as i had a leaky std front shock.......But ultimately id say 60k too many miles for 2nd hand shoks!!!