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Observing light-by-light scattering at the Large Hadron Collider (LHC) hasreceived quite some attention and it is believed to be a clean and sensitivechannel to possible new physics. In this paper, we study the diphotonproduction at the LHC via the process $\rm pp\rightarrow p\gamma\gammap\rightarrow p\gamma\gamma p$ through graviton exchange in the Large ExtraDimension (LED) model. Typically, when we do the background analysis, we alsostudy the Double Pomeron Exchange (DPE) of $\gamma\gamma$ production. Wecompare its production in the quark-quark collision mode to the gluon-gluoncollision mode and find that contributions from the gluon-gluon collision modeare comparable to the quark-quark one. Our result shows, for extra dimension$\delta=4$, with an integrated luminosity $\rm {\cal L} = 200 fb^{-1}$ at the14 TeV LHC, that diphoton production through graviton exchange can probe theLED effects up to the scale $\rm M_S=5.06 (4.51, 5.11) TeV$ for the forwarddetector acceptance $\xi_1 (\xi_2, \xi_3)$, respectively, where$0.0015<\xi_1<0.5$, $0.1<\xi_2<0.5$ and $0.0015<\xi_3<0.15$.

Large Extra Dimension effects through Light-by-Light Scattering at the CERN LHC