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''of a natural number $n$''

A [[natural number]] that is the result of [[multiplication]] of $n$ by some natural number; hence a number divisible by $n$ without remainder (cf. [[Division]]). A number $n$ divisible by each of the numbers $a,b,\ldots,m$ 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'' or ''[[least common multiple]]'') and the others are then multiples of the lowest common multiple. If the [[greatest common divisor]] $d$ of two numbers $a$ and $b$ is known, the lowest common multiple $m$ is found from the formula $m = ab/d$.

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====References====
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<TR><TD valign="top">[a1]</TD> <TD valign="top">  I.M. Vinogradov,   "Elements of number theory" , Dover, reprint  (1954)  (Translated from Russian 5th ed. 1949) {{ZBL|0057.28201}}</TD></TR>
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