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What is the Least Common Multiple of 79127 and 79142?

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 79127 and 79142 is 6262269034.

LCM(79127,79142) = 6262269034

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Least Common Multiple of 79127 and 79142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79127 and 79142, than apply into the LCM equation.

GCF(79127,79142) = 1
LCM(79127,79142) = ( 79127 × 79142) / 1
LCM(79127,79142) = 6262269034 / 1
LCM(79127,79142) = 6262269034

Least Common Multiple (LCM) of 79127 and 79142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79127 and 79142. First we will calculate the prime factors of 79127 and 79142.

Prime Factorization of 79127

Prime factors of 79127 are 67, 1181. Prime factorization of 79127 in exponential form is:

79127 = 671 × 11811

Prime Factorization of 79142

Prime factors of 79142 are 2, 7, 5653. Prime factorization of 79142 in exponential form is:

79142 = 21 × 71 × 56531

Now multiplying the highest exponent prime factors to calculate the LCM of 79127 and 79142.

LCM(79127,79142) = 671 × 11811 × 21 × 71 × 56531
LCM(79127,79142) = 6262269034