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What is the smallest positive integer divisible by integers $1$ through $99$?

 Jul 20, 2023
 #1
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LCM(1 to 99) = 6,972,037,522,971,247,716,453,380,893,531,230,3556,800

 

GCD(1 to 99) = 1

 Jul 20, 2023
 #2
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Since gcd(1-99) = 1, lcm(1-99)=99!

 Jul 20, 2023
 #3
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lcm(1 to 99) is NOT 99! In fact it is:  2^6 * 3^4 * 5^2 * 7^2 * 11 * 13 * 17 * 19 * 23 * 29 * 31 * 37 * 41 * 43 * 47 * 53 * 59 * 61 * 67 * 71 * 73 * 79 * 83 * 89 * 97

Guest Jul 20, 2023
 #4
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Lol, such a do-gooder and cheater enabler

 

GA

Guest Jul 20, 2023

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