  In this paper we perform a systematic study of the exclusive dilepton
production by $\gamma \gamma$ interactions in $PbPb$ collisions at the LHC Run
2 energies considering different levels of precision for the treatment of the
absorptive corrections and for the nuclear form factor. The rapidity and
invariant mass distributions are estimated taking into account the experimental
cutoffs and a comparison with the recent ALICE and ATLAS data for the $e^+ e^-$
and $\mu^+ \mu^-$ production is presented.
