The least common multiple of the first n positive integers divides a certain multinomial coefficient. This is a special case of a theorem proved here in the context of commutative monoids. We discuss the extent to which the theorem is best possible. (C) 1994 Academic Press, Inc.
机构:
Inst Math & Informat, LT-08663 Vilnius, Lithuania
Vilnius State Univ, Dept Math & Informat, LT-03225 Vilnius, LithuaniaUniv Autonoma Madrid, Inst Ciencias Matemat CSIC UAM UC3M UCM, E-28049 Madrid, Spain