What the Least Common Multiple Divides

G. Myerson

doi:10.1006/jnth.1994.1054

What the Least Common Multiple Divides

G. Myerson^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	80-87
Number of pages	8
Journal	Journal of Number Theory
Volume	48
Issue number	1
DOIs	https://doi.org/10.1006/jnth.1994.1054
Publication status	Published - Jul 1994

Access to Document

10.1006/jnth.1994.1054

Cite this

@article{38fcb1e6c0d6427db1bb2ed617ef341d,

title = "What the Least Common Multiple Divides",

abstract = "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.",

author = "G. Myerson",

year = "1994",

month = jul,

doi = "10.1006/jnth.1994.1054",

language = "English",

volume = "48",

pages = "80--87",

journal = "Journal of Number Theory",

issn = "0022-314X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - What the Least Common Multiple Divides

AU - Myerson, G.

PY - 1994/7

Y1 - 1994/7

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0011604687

U2 - 10.1006/jnth.1994.1054

DO - 10.1006/jnth.1994.1054

M3 - Article

AN - SCOPUS:0011604687

SN - 0022-314X

VL - 48

SP - 80

EP - 87

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 1

ER -

What the Least Common Multiple Divides

Abstract

Access to Document

Other files and links

Fingerprint

Cite this