We find that the $m$-separability and $k$-partite entanglement of a multipartite quantum system is correlated with quantum coherence of the same with respect to complete orthonormal bases, distinguishable under local operations and classical communication in certain partitions. In particular, we show that the geometric measure of $m$-inseparable entanglement of a multipartite quantum state is equal to the square of minimum fidelity-based quantum coherence of the state with respect to complete orthonormal bases, which are locally distinguishable in a partition into $m$ parties.

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• Entanglement measures
• Quantum coherence & coherence measures
• Quantum entanglement
• Quantum networks