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What is the Least Common Multiple of 79627 and 79638?

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 79627 and 79638 is 6341335026.

LCM(79627,79638) = 6341335026

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Least Common Multiple of 79627 and 79638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79627 and 79638, than apply into the LCM equation.

GCF(79627,79638) = 1
LCM(79627,79638) = ( 79627 × 79638) / 1
LCM(79627,79638) = 6341335026 / 1
LCM(79627,79638) = 6341335026

Least Common Multiple (LCM) of 79627 and 79638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79627 and 79638. First we will calculate the prime factors of 79627 and 79638.

Prime Factorization of 79627

Prime factors of 79627 are 79627. Prime factorization of 79627 in exponential form is:

79627 = 796271

Prime Factorization of 79638

Prime factors of 79638 are 2, 3, 13, 1021. Prime factorization of 79638 in exponential form is:

79638 = 21 × 31 × 131 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 79627 and 79638.

LCM(79627,79638) = 796271 × 21 × 31 × 131 × 10211
LCM(79627,79638) = 6341335026