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What is the Least Common Multiple of 92260 and 92271?

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 92260 and 92271 is 8512922460.

LCM(92260,92271) = 8512922460

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Least Common Multiple of 92260 and 92271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92260 and 92271, than apply into the LCM equation.

GCF(92260,92271) = 1
LCM(92260,92271) = ( 92260 × 92271) / 1
LCM(92260,92271) = 8512922460 / 1
LCM(92260,92271) = 8512922460

Least Common Multiple (LCM) of 92260 and 92271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92260 and 92271. First we will calculate the prime factors of 92260 and 92271.

Prime Factorization of 92260

Prime factors of 92260 are 2, 5, 7, 659. Prime factorization of 92260 in exponential form is:

92260 = 22 × 51 × 71 × 6591

Prime Factorization of 92271

Prime factors of 92271 are 3, 30757. Prime factorization of 92271 in exponential form is:

92271 = 31 × 307571

Now multiplying the highest exponent prime factors to calculate the LCM of 92260 and 92271.

LCM(92260,92271) = 22 × 51 × 71 × 6591 × 31 × 307571
LCM(92260,92271) = 8512922460