The IAU has no system for naming extrasolar planets, but currently discovered extrasolar planets tend to be named after their star with a letter after its name starting with 'b,' e.g. the first planet around Zeta Reticuli 2 would be called Zeta Reticuli 2b.
LV-223 and LV-426 are both moons of Jovian planets, and AFAIK no extrasolar moons have been discovered so there's no naming conventions for them at all.