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What is the Least Common Multiple of 80671 and 80679?

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 80671 and 80679 is 6508455609.

LCM(80671,80679) = 6508455609

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Least Common Multiple of 80671 and 80679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80671 and 80679, than apply into the LCM equation.

GCF(80671,80679) = 1
LCM(80671,80679) = ( 80671 × 80679) / 1
LCM(80671,80679) = 6508455609 / 1
LCM(80671,80679) = 6508455609

Least Common Multiple (LCM) of 80671 and 80679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80671 and 80679. First we will calculate the prime factors of 80671 and 80679.

Prime Factorization of 80671

Prime factors of 80671 are 80671. Prime factorization of 80671 in exponential form is:

80671 = 806711

Prime Factorization of 80679

Prime factors of 80679 are 3, 26893. Prime factorization of 80679 in exponential form is:

80679 = 31 × 268931

Now multiplying the highest exponent prime factors to calculate the LCM of 80671 and 80679.

LCM(80671,80679) = 806711 × 31 × 268931
LCM(80671,80679) = 6508455609