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What is the Least Common Multiple of 18657 and 18670?

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 18657 and 18670 is 348326190.

LCM(18657,18670) = 348326190

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Least Common Multiple of 18657 and 18670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18657 and 18670, than apply into the LCM equation.

GCF(18657,18670) = 1
LCM(18657,18670) = ( 18657 × 18670) / 1
LCM(18657,18670) = 348326190 / 1
LCM(18657,18670) = 348326190

Least Common Multiple (LCM) of 18657 and 18670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18657 and 18670. First we will calculate the prime factors of 18657 and 18670.

Prime Factorization of 18657

Prime factors of 18657 are 3, 691. Prime factorization of 18657 in exponential form is:

18657 = 33 × 6911

Prime Factorization of 18670

Prime factors of 18670 are 2, 5, 1867. Prime factorization of 18670 in exponential form is:

18670 = 21 × 51 × 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 18657 and 18670.

LCM(18657,18670) = 33 × 6911 × 21 × 51 × 18671
LCM(18657,18670) = 348326190