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What is the Least Common Multiple of 80686 and 80691?

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 80686 and 80691 is 6510634026.

LCM(80686,80691) = 6510634026

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Least Common Multiple of 80686 and 80691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80686 and 80691, than apply into the LCM equation.

GCF(80686,80691) = 1
LCM(80686,80691) = ( 80686 × 80691) / 1
LCM(80686,80691) = 6510634026 / 1
LCM(80686,80691) = 6510634026

Least Common Multiple (LCM) of 80686 and 80691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80686 and 80691. First we will calculate the prime factors of 80686 and 80691.

Prime Factorization of 80686

Prime factors of 80686 are 2, 40343. Prime factorization of 80686 in exponential form is:

80686 = 21 × 403431

Prime Factorization of 80691

Prime factors of 80691 are 3, 13, 2069. Prime factorization of 80691 in exponential form is:

80691 = 31 × 131 × 20691

Now multiplying the highest exponent prime factors to calculate the LCM of 80686 and 80691.

LCM(80686,80691) = 21 × 403431 × 31 × 131 × 20691
LCM(80686,80691) = 6510634026