Leucadia is a beach community in the coastal city of Encinitas, California. It is known for its relatively secluded beaches in Southern California surf culture. The name Leucadia is of Greek origin as its namesake, Lefkada (Leucadia), is one of the Ionian Islands. Early in the community's history, a development company based in San Diego gave Leucadia and its str…Leucadia is a beach community in the coastal city of Encinitas, California. It is known for its relatively secluded beaches in Southern California surf culture. The name Leucadia is of Greek origin as its namesake, Lefkada (Leucadia), is one of the Ionian Islands. Early in the community's history, a development company based in San Diego gave Leucadia and its streets their Roman-Greco names, which include Hymettus, Neptune, Phoebe, and Daphne. The community of Leucadia became part of the city of Encinitas when it incorporated in 1986.