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Lowest Common Multiple (LCM)

Lowest Common Multiple (LCM)

IP 1

Definition

The LCM of two or more positive integers is the smallest positive integer that is a multiple of all of them.

Methods to Find LCM

For example: Find the lowest common multiple of \(1071\) and \(462\).

By prime factorisation

By repeated division (long division)

By Euclidean Algorithm

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Answer:\(\operatorname{LCM}(1071,462)=23562\)

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