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What is the Least Common Multiple of 79627 and 79642?

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 79642 is 6341653534.

LCM(79627,79642) = 6341653534

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Least Common Multiple of 79627 and 79642 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 79642, than apply into the LCM equation.

GCF(79627,79642) = 1
LCM(79627,79642) = ( 79627 × 79642) / 1
LCM(79627,79642) = 6341653534 / 1
LCM(79627,79642) = 6341653534

Least Common Multiple (LCM) of 79627 and 79642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79627 and 79642. First we will calculate the prime factors of 79627 and 79642.

Prime Factorization of 79627

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

79627 = 796271

Prime Factorization of 79642

Prime factors of 79642 are 2, 39821. Prime factorization of 79642 in exponential form is:

79642 = 21 × 398211

Now multiplying the highest exponent prime factors to calculate the LCM of 79627 and 79642.

LCM(79627,79642) = 796271 × 21 × 398211
LCM(79627,79642) = 6341653534