Jamie volunteers at the pet shelter every 3 days and at the food pantry every 6 days. This month he volunteers at the pet shelter on the 3rd day of the month and at the food pantry on the 6th day of the month. Jamie says that the first time he will volunteer at both places will be the 18th day of the month because the LCM of 3 and 6 is 18. Does Jamie’s reasoning make sense? Use the drop-down menus to explain.

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Jamie found the LCM to be the product of
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,

but because 6 is a
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of 3, the LCM is
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.

So the first day he will volunteer at both places is the
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day of the month.