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Mathematics, 25.02.2021 23:10 AADJ4

Zeke has swim club every 2 days and robotics club every 8 days. This month, he has swim club on the 2nd day of the month and robotics club on the 8th day of the month.
Zeke says that the first time he will have both clubs on the same day is the 16th day of the month because the LCM of 2 and 8 is 16.

Does Zeke’s reasoning make sense? Use the drop-down menus to explain.

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Zeke found the LCM to be the product of
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,

but because 8 is a
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of 2, the LCM is
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.

So the first day he will have both clubs is the
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day of the month.

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