  We consider multiple TeV scale extra compact dimensions in an asymmetric
string compactification scenario in which the SM gauge bosons can propagate
into the TeV scale extra dimensions while the SM fermions are confined to the
usual SM D3 brane. We calculate the contributions that the KK excitations of
the gluons make to the multijet cross sections in proton proton collisions at
the LHC energy. At very high pT, the dijet signal will either be enhanced
significantly due to virtual g star exchanges or place a lower bound on the
compactification scale of about 8 TeV. We find that the dijet signal is very
sensitive to three parameters: the compactification scale, the string scale,
and the number of extra dimensions. Thus, although the dijet signal is much
more sensitive to KK effects, the dijet signal alone does not provide
sufficient information to deduce the number of extra dimensions nor the
compactification scale. However, the three jet signal, which is not sensitive
to the string scale, can be analyzed in conjunction with the dijet signal to
extract all three parameters. For proton proton collisions at the LHC energy,
the three jet signal can be significantly enhanced by KK contributions for a
compactification scale of about 4 to 5 TeV.
