Elida is a town in Roosevelt County, New Mexico, United States. The population was 183 at the 2000 census.
The late Portales philanthropist Addie Peed Swearingen grew up in Elida and lived on a ranch there from 1960-1979. Another notable Elida native is former Texas Tech Red Raiders baseball coach Larry Hays.
Elida is located at 33°56′43″N 103°39′15″W / 33.94528°N 103.65417°W / 33.94528; -103.65417 (33.945246, -103.654191).