The load scheduling is one of the prime concerns for the computation of tasks in a virtual distributed environment. Many meta-heuristic swarm based optimization methods have been developed for scheduling the load in cloud computing environment. These swarm intelligence based algorithms like PSO play a key role in determining the scheduling of the cloudlets on the VMs in the datacenter. Gravitational Search algorithm based on law of gravity schedules the load in an effective manner. Its potential has not been utilized in cloud for load scheduling. This paper proposes a linear improved gravitational search algorithm in Cloud (LIGSA-C). This presents a new linear gravitational function and cost evaluation function for cloudlets using gravitational search approach in cloud. The results are computed by particles for scheduling 10 cloudlets on 8 VMs in the cloud. The detailed analysis of the result is performed. This paper states that LIGSA-C outperforms the existing algorithms like GSA and PSO for minimized cost.