We investigate a state dependent multicast routing scheme, called Least Load Multicast Routing (LLMR), for single rate loss networks. The algorithm is based on Least Load Routing (LLR) concept and the approach is to select the least loaded links for establishing connections. An analytical model for LLMR is developed. The accuracy of the analytical model is compared with the simulation results and is found to be very good. We also develop a simplified analytical model for fully symmetrical networks, which is also verified by comparing with simulation results.