Lecompte is a town in Rapides Parish, Louisiana, United States. Lecompte is situated along the banks of the Red River in central Louisiana. US Highway 71, Louisiana’s major north-south route which conn…Lecompte is a town in Rapides Parish, Louisiana, United States. Lecompte is situated along the banks of the Red River in central Louisiana. US Highway 71, Louisiana’s major north-south route which connects Baton Rouge and Shreveport, runs through Lecompte. Lecompte is named after a horse called LeComte, which was named after horse breeder Ambrose LeComte. It is part of the Alexandria, Louisiana Metropolitan Statistical Area. The population was 1,227 at the 2010 census.