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Let M be the least common multiple of 1,2,3......20. How many positive divisors does M have?

Guest Mar 26, 2017
 #1
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LCM of numbers 1-20: 232,792,560 

https://www.integers.co/questions-answers/what-is-the-total-number-of-factors-of-the-number-232792560.html

Neptune  Mar 26, 2017
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M=232,792,560 = 2^4×3^2×5×7×11×13×17×19.

It has 12 prime factors. 8 of them are distinct. 

It has a total of 960 divisors!.

Guest Mar 26, 2017

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