Its admissions are based on a lottery system that takes into account preferences for siblings of current students and children of school faculty and staff.

LAMB was launched by the Latin American Youth Center, a Washington, D.C., non-governmental organization that serves young Latinos.

In 2013, LAMB established a second location, sharing a building with the Perry Street Prep charter school on South Dakota Avenue in Northeast Washington.

LAMB opened its third location in 2017 on the former campus of the Walter Reed Army Medical Center in Northwest Washington.

The building was most recently used by the Kingsbury Center, a school for children and adults with learning differences, before it closed in 2019.