  We present the Large Hadron Collider (LHC) discovery potential in the Z'
sector of a U(1)_{B-L} enlarged Standard Model also encompassing three heavy
Majorana neutrinos, for \sqrt{s}=7 centre-of-mass energy, considering both the
Z'_{B-L}\rightarrow e^+e^- and Z'_{B-L}\rightarrow \mu^+\mu^- decay channels.
  Electrons provide a higher sensitivity to smaller couplings at small Z'_{B-L}
boson masses than do muons. The run of the LHC at \sqrt{s}=7 TeV, assuming at
most \int \mathcal{L} \sim 1 fb^{-1}, will be able to give similar results to
those that will be available soon at the Tevatron in the lower mass region, and
to extend them for a heavier M_{Z'}. A 5\sigma discovery could be possible up
to M_{Z'}=1.2(0.9) TeV at the LHC(Tevatron), while a 2\sigma exclusion at the
LHC could be possible up to M_{Z'}=1.6 TeV. The new gauge coupling g'_1 can
been probed, at 5\sigma, down to \sim (3 \div 4) \cdot 10^{-2} with electrons
and down to \sim (4 \div 5) \cdot 10^{-2} with muons, both at the LHC and at
the Tevatron, for M_{Z'}=600 GeV.
  The Z' boson in this model exhibits novel signatures at the LHC, as
multi-lepton and multi-jet decays via heavy neutrinos, that allow one to
measure the heavy neutrino masses involved. Lastly, the simultaneous
measurement of both the heavy neutrino mass and decay length (over a large
region of parameter space, the heavy neutrinos are rather long-lived particles)
enables an estimate of the absolute mass of the parent light neutrino.
