  We compute the cross section of inclusive dijet photoproduction in
ultraperipheral Pb-Pb collisions at the LHC using next-to-leading order
perturbative QCD. We demonstrate that our theoretical calculations provide a
good description of various kinematic distributions measured by the ATLAS
collaboration. We find that the calculated dijet photoproduction cross section
is sensitive to nuclear modifications of parton distribution functions (PDFs)
at the level of 10 to 20%. Hence, this process can be used to reduce
uncertainties in the determination of these nuclear PDFs, whose current
magnitude is comparable to the size of the calculated nuclear modifications of
the dijet photoproduction cross section.
