Since Social/Media Client has rapidly grown for Long Term Evolution (LTE) network, several Authentication and Key Agreement (AKA) Protocols have proposed for securing its communication. Wu et al. and Yoon et al. have concerned on for Server-Client environment. Though those mechanisms were failed to provide mutual authentication and secure key sharing for server-client. Thus this research paper focuses on Secure Mutual Authentication and Key Agreement (SM-AKA) to enhance the communication efficiency of server-client. Moreover, this paper pays its close attention for securing the LTE networks. While cross-examination, we find that the efficiency and performance analysis of SM-AKA protocol are better than the authentication mechanisms like Wu et al and Yoon et al.