These two patches are somewhat different. The Flector patch contains a diclofenac, a NSAID or antiflammatory, and is usually used to treat sprains, bruises and muscle pain. Liboderm contains a local anestheic, lidocaine, that blocks nerve signals to brain. It's mostly been used to treat shingles but is now being used at times to treat arthritis and muscoskeletal pain.
I don't know but I would guess that liboderm is stronger since it's also used to treat such painful nerve disorder (shingles). Good luck with whichever one you decide on.
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