The rapid growth of mobile computing and cloud computing has transformed the landscape of modern computing. Mobile computing provides users with the ability to access information and services remotely, while cloud computing offers scalable resources for storage and processing over the internet. As these two technologies converge, the algorithms designed to optimize performance, security, and efficiency have become more crucial. This research paper explores the key algorithms used in mobile and cloud computing, their characteristics, challenges, and performance analysis. It highlights how these algorithms support the seamless operation of mobile applications, data management, and resource optimization in cloud environments. The paper also discusses future trends and potential advancements in algorithm design for mobile-cloud integration. Keywords: mobile computing, cloud computing, load balancing