The Town of Kim is a Statutory Town in Las Animas County, Colorado, United States. The population was 74 at the time of the 2010 United …The Town of Kim is a Statutory Town in Las Animas County, Colorado, United States. The population was 74 at the time of the 2010 United States Census. As of 2014, the town included a complete school system, a post office, and a general store.