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What is the Least Common Multiple of 18686 and 18701?

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 18686 and 18701 is 349446886.

LCM(18686,18701) = 349446886

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Least Common Multiple of 18686 and 18701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18686 and 18701, than apply into the LCM equation.

GCF(18686,18701) = 1
LCM(18686,18701) = ( 18686 × 18701) / 1
LCM(18686,18701) = 349446886 / 1
LCM(18686,18701) = 349446886

Least Common Multiple (LCM) of 18686 and 18701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18686 and 18701. First we will calculate the prime factors of 18686 and 18701.

Prime Factorization of 18686

Prime factors of 18686 are 2, 9343. Prime factorization of 18686 in exponential form is:

18686 = 21 × 93431

Prime Factorization of 18701

Prime factors of 18701 are 18701. Prime factorization of 18701 in exponential form is:

18701 = 187011

Now multiplying the highest exponent prime factors to calculate the LCM of 18686 and 18701.

LCM(18686,18701) = 21 × 93431 × 187011
LCM(18686,18701) = 349446886