  Ultra-relativistic peripheral collisions of heavy ions at LHC can produce
copies of numbers of lepton pairs via the two-photon process. Since the energy
of the heavy ions is so high, multi-pair production cross-sections of the light
leptons especially electrons are quite large so that it is possible to measure
them experimentally. To calculate the multi-pair production probabilities,
first, we should have an impact parameter dependence cross-section. We have
obtained a well-behaved impact parameter dependence cross-section and by using
the Monte-Carlo methods, we have calculated multi-pair production
cross-sections of electrons and muons in Pb-Pb heavy-ion collisions at LHC
energies. We have also used some experimental restrictions in our calculation
to compare our findings with the experimental results.
