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In this paper, we propose a distributed algorithm called G-REMiT for building an energy efficient multicast tree in a wireless ad hoc network (WANET). G-REMiT employs a more realistic energy consumption model for wireless communication which takes into account not only the energy losses due to radio propagation but also the energy losses in the transceiver electronics. We evaluate the performance of the protocol using two energy consumption model: long range radio and short range radio. We show that for long range radio model, G-REMiT algorithm can achieve better performance than other proposals such as MLU, MLiMST and MIP, and the energy overhead of for executing G-REMiT is negligible compared with the total energy consumption for the multicast communication. For short range radio, we find that existing energy saving scheme by adjusting node's transmission power is not suitable.