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Assume we want to find the lowest multiple of the numbers.
The lowest multiple of the numbers is factored to primes with the maximum exponents. The other way of thinking of the lowest multiple is that these numbers divide the large number in order for the large number to be the lowest multiple.
To help us understand how to work out with lowest multiple, let's consider this following example:
Find the GCF of 4 and 6.
Factor out each term to obtain:
4 = 2 x 2
6 = 2 x 3
Select the maximum number of primes that occur the most in one of the numbers. It's 4 that contains the factors 2². Then, since 6 is the only number that contains 3, keep that! Then, the lowest multiple is 2² x 3 = 12.
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