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What is the Least Common Multiple of 92437 and 92457?

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 92437 and 92457 is 8546447709.

LCM(92437,92457) = 8546447709

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Least Common Multiple of 92437 and 92457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92437 and 92457, than apply into the LCM equation.

GCF(92437,92457) = 1
LCM(92437,92457) = ( 92437 × 92457) / 1
LCM(92437,92457) = 8546447709 / 1
LCM(92437,92457) = 8546447709

Least Common Multiple (LCM) of 92437 and 92457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92437 and 92457. First we will calculate the prime factors of 92437 and 92457.

Prime Factorization of 92437

Prime factors of 92437 are 23, 4019. Prime factorization of 92437 in exponential form is:

92437 = 231 × 40191

Prime Factorization of 92457

Prime factors of 92457 are 3, 10273. Prime factorization of 92457 in exponential form is:

92457 = 32 × 102731

Now multiplying the highest exponent prime factors to calculate the LCM of 92437 and 92457.

LCM(92437,92457) = 231 × 40191 × 32 × 102731
LCM(92437,92457) = 8546447709