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What is the Least Common Multiple of 93892 and 93911?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 93892 and 93911 is 8817491612.

LCM(93892,93911) = 8817491612

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Least Common Multiple of 93892 and 93911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93892 and 93911, than apply into the LCM equation.

GCF(93892,93911) = 1
LCM(93892,93911) = ( 93892 × 93911) / 1
LCM(93892,93911) = 8817491612 / 1
LCM(93892,93911) = 8817491612

Least Common Multiple (LCM) of 93892 and 93911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93892 and 93911. First we will calculate the prime factors of 93892 and 93911.

Prime Factorization of 93892

Prime factors of 93892 are 2, 23473. Prime factorization of 93892 in exponential form is:

93892 = 22 × 234731

Prime Factorization of 93911

Prime factors of 93911 are 93911. Prime factorization of 93911 in exponential form is:

93911 = 939111

Now multiplying the highest exponent prime factors to calculate the LCM of 93892 and 93911.

LCM(93892,93911) = 22 × 234731 × 939111
LCM(93892,93911) = 8817491612