Finding the Least Common Multiple of Two Numbers by Factoring

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You can find the least common multiple (LCM) of two numbers by multiplying together the highest power of each factor found in either number.
Contributed by: Jesse Nochella (March 2011)
Open content licensed under CC BY-NC-SA
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Details
A faster way to compute the LCM of two numbers and
is
, which can take advantage of the efficiency of the Euclidean algorithm.
Permanent Citation
"Finding the Least Common Multiple of Two Numbers by Factoring"
http://demonstrations.wolfram.com/FindingTheLeastCommonMultipleOfTwoNumbersByFactoring/
Wolfram Demonstrations Project
Published: March 7 2011