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What is the Least Common Multiple of 79061 and 79077?

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 79061 and 79077 is 6251906697.

LCM(79061,79077) = 6251906697

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Least Common Multiple of 79061 and 79077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79061 and 79077, than apply into the LCM equation.

GCF(79061,79077) = 1
LCM(79061,79077) = ( 79061 × 79077) / 1
LCM(79061,79077) = 6251906697 / 1
LCM(79061,79077) = 6251906697

Least Common Multiple (LCM) of 79061 and 79077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79061 and 79077. First we will calculate the prime factors of 79061 and 79077.

Prime Factorization of 79061

Prime factors of 79061 are 173, 457. Prime factorization of 79061 in exponential form is:

79061 = 1731 × 4571

Prime Factorization of 79077

Prime factors of 79077 are 3, 43, 613. Prime factorization of 79077 in exponential form is:

79077 = 31 × 431 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 79061 and 79077.

LCM(79061,79077) = 1731 × 4571 × 31 × 431 × 6131
LCM(79061,79077) = 6251906697