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What is the Least Common Multiple of 92627 and 92638?

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 92627 and 92638 is 8580780026.

LCM(92627,92638) = 8580780026

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Least Common Multiple of 92627 and 92638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92627 and 92638, than apply into the LCM equation.

GCF(92627,92638) = 1
LCM(92627,92638) = ( 92627 × 92638) / 1
LCM(92627,92638) = 8580780026 / 1
LCM(92627,92638) = 8580780026

Least Common Multiple (LCM) of 92627 and 92638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92627 and 92638. First we will calculate the prime factors of 92627 and 92638.

Prime Factorization of 92627

Prime factors of 92627 are 92627. Prime factorization of 92627 in exponential form is:

92627 = 926271

Prime Factorization of 92638

Prime factors of 92638 are 2, 7, 13, 509. Prime factorization of 92638 in exponential form is:

92638 = 21 × 71 × 131 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 92627 and 92638.

LCM(92627,92638) = 926271 × 21 × 71 × 131 × 5091
LCM(92627,92638) = 8580780026