LaFayette, also informally written as La Fayette and Lafayette, is a home rule-class city in Christian County, Kentucky, in the United States. Th…LaFayette, also informally written as La Fayette and Lafayette, is a home rule-class city in Christian County, Kentucky, in the United States. The population was 177 as of the 2020 census, up from 165 in the 2010 U.S. census.