Present era is of Information and Communication Technology (ICT) and there are number of researches are going on Cloud Computing and Mobile Cloud Computing such security issues, data management, load balancing and so on. Cloud computing provides the services to the end user over Internet and the primary objectives of this computing are resource sharing and pooling among the end users. Mobile Cloud Computing is a combination of Cloud Computing and Mobile Computing. Here, data is stored in a Cloud Computing Infrastructure which can be access using Mobile devices over Internet. This paper presents brief introduction of cloud computing and mobile cloud computing, its architectures and models. This paper also contains comparative study of the Cloud Computing and Mobile Cloud Computing in respect of service model, issues, and applications.