The (001) and (111) surface structures of the LiMn 2 O 4 (LMO) spinel are examined using density functional theory (DFT) calculations within the generalized gradient approximation (GGA)+U approach. In order to clarify discrepancies in the literature for previous DFT calculations of these surfaces, we first carefully study the effects of surface termination/reconstruction, slab construction, and relaxation schemes, as well as magnetic ordering and U values for Mn on the calculated surface energies of LMO. We explain these discrepancies and show that the relaxation scheme and surface reconstruction play the key role in determining the relative stability of (001) and (111) surfaces. We have further analyzed the thermodynamic stability of LMO surfaces as a function of oxygen and lithium chemical potentials. We have found that the ratio of (001)