Although I don't own a LCP, I do own and enjoy my P3AT. After 200+/- rounds of everything, to break in, for carry ,102 gr Rem Golden Sabers, 90 gr Cor-Bon, 90 gr Speer Gold-Dot, All these also perform flawlessly in my Walther PPK/S, and P3AT.
Don't know how the LCP shoots these rounds, but Winchester, Federal, are very consistent. If you have a reliable LCP, try different rounds. One that works
With the price of ammo, its hard to say "this one" over "that one", but splitting hairs over fps or ft. lbs is not the point.
Shot placement with practice is more important.
Good Luck