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If 2520 is the least number divisible by the first nine counting numbers, what is the least number divisible by the first 12 counting numbers?

User Spoike
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Answer:

To find the least number divisible by the first 12 counting numbers, you need to calculate the least common multiple (LCM) of those numbers.

The first nine counting numbers are 1, 2, 3, 4, 5, 6, 7, 8, and 9. The least number divisible by these is their LCM.

LCM(1, 2, 3, 4, 5, 6, 7, 8, 9) = 2520

So, you correctly found that 2520 is the least number divisible by the first nine counting numbers.

Now, to find the least number divisible by the first 12 counting numbers, you need to calculate the LCM of these numbers, including the first nine:

LCM(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12) = 27720

Therefore, the least number divisible by the first 12 counting numbers is 27720.

User Dominic Comtois
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