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What is the Least Common Multiple of 80681 and 80686?

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 80681 and 80686 is 6509827166.

LCM(80681,80686) = 6509827166

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Least Common Multiple of 80681 and 80686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80681 and 80686, than apply into the LCM equation.

GCF(80681,80686) = 1
LCM(80681,80686) = ( 80681 × 80686) / 1
LCM(80681,80686) = 6509827166 / 1
LCM(80681,80686) = 6509827166

Least Common Multiple (LCM) of 80681 and 80686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80681 and 80686. First we will calculate the prime factors of 80681 and 80686.

Prime Factorization of 80681

Prime factors of 80681 are 80681. Prime factorization of 80681 in exponential form is:

80681 = 806811

Prime Factorization of 80686

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

80686 = 21 × 403431

Now multiplying the highest exponent prime factors to calculate the LCM of 80681 and 80686.

LCM(80681,80686) = 806811 × 21 × 403431
LCM(80681,80686) = 6509827166