Please check this answer for me?

The elementary school menu repeats every 25 days; the middle school menu repeats every 15 days. Both schools are serving chicken tenders today. In how many days will both schools serve chicken tenders again?

*5 days
*10 days
*40 days MY ANSWER
*75 days

2 answers

Clearly incorrect
cylces of menu of elementary school: 25, 50, 75, 100, ...
cycles of menu of middle school: 15, 30, 45, 60, 75, 90, ...
the first common day is obviously 75

or
you want the LCM(25,15)
which is the same as 5*LCM(5,3)
and LCM(5,3) = 15
so LCM(25,15)
= 5*LCM(5,3)
= 5*15 = 75
5
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