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Least Common Multiple

Least Common Multiple is also referred to as the Lowest Common Multiple  and Least Common Divisor. For two integers a and b, the LCM is the smallest positive integer that is evenly divisible by a and b. For example, LCM(2,3) = 6. Derived using prime factorization. Aside from prime factorization, continuous division is also used.

Answer:

24 days

Solutions:

Given: every 12 days - Jerwin's exercise schedule

             every 8 days - Nikki's exercise schedule

Asked: The number of days until Jerwin and Nikki will exercise together again.

List the multiples of 12 and 8.

12 - 12, 24, 36, 48, 60, 72, 84, 96, 108, 120

8 - 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

Choose the common multiples.

12 - 12, 24, 36, 48, 60, 72, 84, 96, 108, 120

8 - 8, 16, 24, 32, 40, 48, 56, 64, 72, 80      

Common Multiples: 24, 48, 72

Choose the lowest.

LCM = 24

Therefore, Jerwin and Nikki will both exercise on the 24th day.

How to find the least common multiple: brainly.ph/question/19054058

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