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In this paper, we proposed LCX‐MAC (local coordination X‐MAC) as an extension of X‐MAC. X‐MAC is an asynchronous duty cycle medium access control (MAC) protocol. X‐MAC used one important technique of short preamble which is to allow sender nodes to quickly send their actual data when the corresponding receivers wake up. X‐MAC node keeps sending short preamble to wake up its receiver node, which causes energy, increases transmission delay, and makes the channel busy since a lot of short preambles are discarded, as these days Internet of Things (IoT) healthcare with different sensor nodes for the healthcare is time‐critical applications and needs a quick response. A possible improvement over X‐MAC is that local information of each node will share with its neighbour node. This local information exchanged will cause much less overhead than in the nodes which are synchronized. To calculate …