H2. Joe goes swimming every 21 days. Mark goes swimming every 35 days. They both went swimming today. Use prime factors to find the number of days it will be until they both go swimming on the same day again.

You want the number of days until both will be swimming again if they both swam today and Joe and Mark swim every 21 and 35 days, respectively.

Least common multiple

The least common multiple of the number of days is the product of the unique factors of the two numbers:

21 = 3·7
35 = 5·7

LCM = 3·7·5 = 105

It will be 105 days until both go swimming again.

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H2. Joe goes swimming every 21 days. Mark goes swimming every 35 days. They both went swimming today. Use prime factors to find the number of days it will be until they both go swimming on the same day again.​

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Least common multiple

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H2. Joe goes swimming every 21 days. Mark goes swimming every 35 days. They both went swimming today. Use prime factors to find the number of days it will be until they both go swimming on the same day again.