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What is the Least Common Multiple of 92637 and 92657?

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 92637 and 92657 is 8583466509.

LCM(92637,92657) = 8583466509

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Least Common Multiple of 92637 and 92657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92637 and 92657, than apply into the LCM equation.

GCF(92637,92657) = 1
LCM(92637,92657) = ( 92637 × 92657) / 1
LCM(92637,92657) = 8583466509 / 1
LCM(92637,92657) = 8583466509

Least Common Multiple (LCM) of 92637 and 92657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92637 and 92657. First we will calculate the prime factors of 92637 and 92657.

Prime Factorization of 92637

Prime factors of 92637 are 3, 47, 73. Prime factorization of 92637 in exponential form is:

92637 = 33 × 471 × 731

Prime Factorization of 92657

Prime factors of 92657 are 92657. Prime factorization of 92657 in exponential form is:

92657 = 926571

Now multiplying the highest exponent prime factors to calculate the LCM of 92637 and 92657.

LCM(92637,92657) = 33 × 471 × 731 × 926571
LCM(92637,92657) = 8583466509