The painting, which dates from 1921, is an abstract work created in Léger's signature pseudo-Cubist style. The work is scheduled to be sold on May 7 as part of a larger Sotheby's auction in New York.
Madonna has been an avid collector of art for many years, with a special affinity for the works of
The pop star said in a statement that she will "donate all the proceeds [from the Léger sale] to support girls' educational projects in Afghanistan,
She said: "I want to trade something valuable for something invaluable -- Educating Girls!"
The sale will benefit Madonna's Ray of Light Foundation, a philanthropic body that funds initiatives to help poor children around the world.
"Trois Femmes" will go on view in Hong Kong and London this month before returning to New York in May.