Livermore is a home rule-class city located at the confluence of the Green and Rough rivers in McLean County in the U.S. state of Kentucky. The population was 1,230 as of the 2020 census, down from 1,365 in 2010. It is included in the Owensboro metropolitan area.

The Rough River is a 136-mile-long (219 km) tributary of the Green River in west-central Kentucky in the United States. It's located about 70 miles southwest of Louisville, and flows through Breckinridge, Hardin, Grayson, and Ohio counties. Via the Green and Ohio rivers, it is part of the watershed of the Mississippi River. According to the Geographic Names Information System, it has also been known historically as "Rough Creek". In the 1950s it was dammed, creating Rough River Lake.