Multiple
From Encyclopedia of Mathematics
of a natural number
A natural number that is divisible by without remainder (cf. Division). A number
divisible by each of the numbers
is called a common multiple of these numbers. Among all common multiples of two or more numbers, one (distinct from zero) is the smallest (the lowest common multiple) and the others are multiples of the lowest common multiple. If the greatest common divisor
of two numbers
and
is known, the lowest common multiple
is found from the formula
.
Comments
References
[a1] | I.M. Vinogradov, "Elements of number theory" , Dover, reprint (1954) (Translated from Russian) |
How to Cite This Entry:
Multiple. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Multiple&oldid=37547
Multiple. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Multiple&oldid=37547