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Concept information

number > elementary arithmetic > least common multiple

Preferred term

least common multiple  

Definition

  • In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm(a, b), is the smallest positive integer that is divisible by both a and b. Since division of integers by zero is undefined, this definition has meaning only if a and b are both different from zero. However, some authors define lcm(a, 0) as 0 for all a, since 0 is the only common multiple of a and 0.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Least_common_multiple)

Broader concept

Entry terms

  • LCM
  • lowest common multiple
  • smallest common multiple

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-C97QK11Z-L

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