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The high-pressure behaviour of LiCrO₂, a compound isostructural to the battery compound LiCoO₂, has been investigated by synchrotron-based angle-dispersive X-ray powder diffraction, Raman spectroscopy, and resistance measurements up to 41, 30, and 10 Gpa, respectively. The stability of the layered structured compound on a triangular lattice with <i>R</i>-3<i>m</i> space group is confirmed in all three measurements up to the highest pressure reached. The dependence of lattice parameters and unit-cell volume with pressure has been determined from the structural refinements of X-ray diffraction patterns that are used to extract the axial compressibilities and bulk modulus by means of Birch&#8315;Murnaghan equation-of-state fits. The pressure coefficients for the two Raman-active modes, <i>A</i>_1g and <i>E</i>_g, and their mode-Gr&#252;neisen parameters are reported. The electrical resistance measurements indicate that pressure has little influence in the resistivity up to 10 GPa. The obtained results for the vibrational and structural properties of LiCrO₂ under pressure are in line with the published results of the similar studies on the related compounds. Research work reported in this article contributes significantly to enhance the understanding on the structural and mechanical properties of LiCrO₂ and related lithium compounds.