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What is the Least Common Multiple of 12686 and 12700?

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 12686 and 12700 is 80556100.

LCM(12686,12700) = 80556100

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Least Common Multiple of 12686 and 12700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12686 and 12700, than apply into the LCM equation.

GCF(12686,12700) = 2
LCM(12686,12700) = ( 12686 × 12700) / 2
LCM(12686,12700) = 161112200 / 2
LCM(12686,12700) = 80556100

Least Common Multiple (LCM) of 12686 and 12700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12686 and 12700. First we will calculate the prime factors of 12686 and 12700.

Prime Factorization of 12686

Prime factors of 12686 are 2, 6343. Prime factorization of 12686 in exponential form is:

12686 = 21 × 63431

Prime Factorization of 12700

Prime factors of 12700 are 2, 5, 127. Prime factorization of 12700 in exponential form is:

12700 = 22 × 52 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 12686 and 12700.

LCM(12686,12700) = 22 × 63431 × 52 × 1271
LCM(12686,12700) = 80556100