Hereditary multiple Exostosis (HME) is a rare genetic disorder characterized by multiple benign (noncancerous) bone tumors that are covered by cartilage, often on the growing end of the long bones of the legs, arms, and fingers. They usually continue to grow until shortly after puberty and may lead to bone deformities, skeletal abnormalities, short stature, nerve compression and reduced range of motion. Hereditary multiple exostosis is inherited as an autosomal dominant genetic condition that means if you are affected, your child will be affected too.