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We calculate the holographic entanglement entropy (HEE) of the $\mathbb{Z}_k$orbifold of Lin-Lunin-Maldacena (LLM) geometries which are dual to the vacua ofthe mass-deformed ABJM theory with Chern-Simons level $k$. By solving thepartial differential equations analytically, we obtain the HEEs for all LLMsolutions with arbitrary M2 charge and $k$ up to $\mu_0^2$-order where $\mu_0$is the mass parameter. The renormalized entanglement entropies are allmonotonically decreasing near the UV fixed point in accordance with the$F$-theorem. Except the multiplication factor and to all orders in $\mu_0$,they are independent of the overall scaling of Young diagrams whichcharacterize LLM geometries. Therefore we can classify the HEEs of LLMgeometries with $\mathbb{Z}_k$ orbifold in terms of the shape of Young diagramsmodulo overall size. HEE of each family is a pure number independent of the 'tHooft coupling constant except the overall multiplication factor. We extend ouranalysis to obtain HEE analytically to $\mu_0^4$-order for the symmetricdroplet case.

Holographic Entanglement Entropy of Anisotropic Minimal Surfaces in LLM Geometries