As the performance gap between memory and processors has increased, then it leads to the poor performance. Efficient virtual memory can overcome this problem. And the efficiency of virtual memory depends on the replacement policy used for cache. In this paper, the authors' algorithm not only based on the time to last access and frequency index but, they also consider the power consumption. They show that Low Power Consumption Weighting Replacement Policy (LWRP) has better performance and low power consumption.