Lecuona represented Cuba three times at the Summer Olympics: 1948 in London, England, 1952 in Helsinki, Finland, and 1956 in Melbourne, Australia. He was also in the Pan American Games twice: in Buenos Aires Argentina (1951) and Mexico City, Mexico (1955). He was a member of the Florida State University men's gymnastics team from 1953 to 1956.
Lecuona was born in Havana, the nephew of Ernesto Lecuona, the Cuban composer and musician. He left Cuba for the United States after Fidel Castro rose to power. He was anti-communist and never returned to Cuba again. He was married twice in the U.S. and had two children with his first wife.