After a year in Rome learning bronze casting as an assistant to New York City artist Milton Hebald, LeQuire entered the University of North Carolina at Greensboro, where he earned a Master of Fine Arts degree.

His most famous work is the replica of Phidias' Athena Parthenos that stands in the naos of the full-scale reconstruction of the Acropolis Parthenon in Nashville's Centennial Park.

This statue, cast in a composite of gypsum and fiberglass on a steel and aluminum armature, is currently the largest piece of indoor sculpture in the Western World, standing almost 42 feet (13 m) tall.

[citation needed] In 1997 LeQuire created a sculptural group of life-size portraits of Tennessee women's suffrage activists Elizabeth Avery Meriwether, Anne Dallas Dudley, and Lizzie Crozier French.

Another large-scale work is Musica, a bronze statue grouping unveiled in 2003 that sits in a grassy knoll at the center of Buddy Killen Circle, a roundabout where Division Street meets 17th Avenue South in the Music Row area of Nashville.