Dictionary

least common multiple en · NOUN

Pronunciation

• (Southern-England) audio

Meanings

1. The smallest positive integer which is divisible by (equivalently, is an integer multiple of) each of a specified finite set of integers.
   • It is sometimes necessary to determine the smallest common nonzero multiple of two or more whole numbers. We call this nonzero multiple the least common multiple. In our work with fractions, there will be problems where it will be necessary to find the least common multiple of some numbers, usually the denominators of fractions. 2007, Jerome Kaufmann, Karen Schwitters, Algebra for College Students, 8th edition, Thomson Learning, page 820:
   • 120 is the least common multiple of 60, 8 and 15.
   • The least common multiple (LCM) is the smallest common multiple of two or more factors.[…]The least common multiple is used to determine the appropriate denominator for adding unlike fractions. In adding unlike fractions, it is important to find the lowest common denominator of the fractions. This is exactly the same thing as finding the least common multiple of the denominators. 2000, Robert W. Smith, Math Challenges, Grades 4-6, Teacher Created Resources, page 75:
   • The LEAST COMMON MULTIPLE is the smallest number, which can be measured by each of two, or more divisors. […] Since 0 is the least multiple of every number, it must be the least common multiple of any, or of all numbers. It is, however, excluded by common consent in finding the least common multiples of numbers, because as such, 0 has no practical value. 1859, David Henry Cruttenden, The Objective Or Synthetic Arithmetic, J. M. Bradstreet & Son, page 261:

Forms

Coordinates

greatest common divisor

Relateds

least common denominator · lowest common denominator

Synonyms

smallest common multiple · lcm · lowest common multiple

Translations (37)

id kelipatan persekutuan terkecil ((number theory)) · et vähim ühiskordne ((number theory)) · fr plus petit multiple commun ((number theory)) · ms gandaan sepunya terkecil ((number theory)) · gl mínimo común múltiplo ((number theory)) · cmn 最小公倍數 /最小公倍数 ((number theory)) · ka უმცირესი საერთო ჯერადი ((number theory)) · az ən kiçik ortaq bölünən ((number theory)) · ja 最小公倍数 ((number theory)) · ro c.m.m.m.c. ((number theory)) · da mindste fælles multiplum ((number theory)) · pt mínimo múltiplo comum ((number theory)) · vi bội số chung nhỏ nhất ((number theory)) · de kleinstes gemeinsames Vielfaches ((number theory)) · ru НОК ((number theory)) · fr plus petit commun multiple ((number theory)) · hu legkisebb közös többszörös ((number theory)) · th ตัวคูณร่วมน้อย ((number theory)) · pl najmniejsza wspólna wielokrotność ((number theory)) · ru наиме́ньшее о́бщее кра́тное ((number theory)) · it minimo comune multiplo ((number theory)) · fi pienin yhteinen monikerta ((number theory)) · tr ortak katların en küçüğü ((number theory)) · ca mínim comú múltiple ((number theory)) · el ελάχιστο κοινό πολλαπλάσιο ((number theory)) · ka საერთო უმცირესი ჯერადი ((number theory)) · gl mínimo múltiplo común ((number theory)) · ro cel mai mic multiplu comun ((number theory)) · ast mínimu común múltiplu ((number theory)) · tl pinakamaliit na lahatang kaparami ((number theory)) · nl kleinste gemene veelvoud ((number theory)) · fi pienin yhteinen jaettava ((number theory)) · uk найме́нше спі́льне кра́тне ((number theory)) · ko 최소공배수 ((number theory)) · uk НСК ((number theory)) · vi bội chung nhỏ nhất ((number theory)) · es mínimo común múltiplo ((number theory))