  The Large Hadron Collider will restart with higher energy and luminosity in
2015. This achievement opens the possibility of discovering new phenomena
hardly described by the Standard Model, that is based on two neutral gauge
bosons: the photon and the $Z$. This perspective imposes a deep and systematic
study of models that predicts the existence of new neutral gauge bosons. One of
such models is based on the gauge group $SU(3)_C \times SU(3)_L \times U(1)_N$
called 3-3-1 model for short.
  In this paper we perform a study with $Z^\prime$ predicted in two versions of
the 3-3-1 model and compare the signature of this resonance in each model
version. By considering the present and future LHC energy regimes, we obtain
some distributions and the total cross section for the process $p + p
\longrightarrow \ell^{+} + \ell^{-} + X$. Additionally, we derive lower bounds
on $Z^\prime$ mass from the latest LHC results. Finally we analyze the LHC
potential for discovering this neutral gauge boson at 14 TeV center-of-mass
energy.
