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What is the Least Common Multiple of 92356 and 92375?

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 92356 and 92375 is 8531385500.

LCM(92356,92375) = 8531385500

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Least Common Multiple of 92356 and 92375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92356 and 92375, than apply into the LCM equation.

GCF(92356,92375) = 1
LCM(92356,92375) = ( 92356 × 92375) / 1
LCM(92356,92375) = 8531385500 / 1
LCM(92356,92375) = 8531385500

Least Common Multiple (LCM) of 92356 and 92375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92356 and 92375. First we will calculate the prime factors of 92356 and 92375.

Prime Factorization of 92356

Prime factors of 92356 are 2, 11, 2099. Prime factorization of 92356 in exponential form is:

92356 = 22 × 111 × 20991

Prime Factorization of 92375

Prime factors of 92375 are 5, 739. Prime factorization of 92375 in exponential form is:

92375 = 53 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 92356 and 92375.

LCM(92356,92375) = 22 × 111 × 20991 × 53 × 7391
LCM(92356,92375) = 8531385500