  We investigate associated prompt photon and hadronic jet production at the
LHC energies using the $k_T$-factorization approach. Our consideration is based
on the $\mathcal O(\alpha\alpha_s^2)$ off-shell gluon-gluon fusion subprocess
$g^*g^*\to \gamma q\bar q$ and several subleading quark-initiated contributions
from $\mathcal O(\alpha\alpha_s)$ and $\mathcal O(\alpha\alpha_s^2)$
subprocesses, taken into account in the conventional (collinear) QCD
factorization. The transverse momentum dependent (or unintegrated) gluon
densities in a proton are derived from Catani-Ciafaloni-Fiorani-Marchesini
(CCFM) evolution equation. We achieve reasonably good agreement with the
experimental data taken by CMS and ATLAS Collaborations and demonstrate the
importance of initial state parton showers for jet determination in the
$k_T$-factorization approach.
