Lowe's and Walmart are independent companies, and neither owns the other. Lowe's is owned by Lowe's Company Inc., and Walmart is owned by Wal-Mart Stores Inc.
Wal-Mart Stores Inc. owns the Walmart line of department stores and the Sam's Club line of membership-only warehouse stores. Lowe's Company Inc. exclusively operates the Lowe's line of home improvement stores. Each company has its own associated private brands that are carried only in its own stores. Although there are many locations where Lowe's stores and Walmart stores are built next to each other, and both brands feature similar styles in the exteriors of their buildings, there is no connection between the brands.