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What is the Least Common Multiple of 18664 and 18676?

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 18664 and 18676 is 87142216.

LCM(18664,18676) = 87142216

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Least Common Multiple of 18664 and 18676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18664 and 18676, than apply into the LCM equation.

GCF(18664,18676) = 4
LCM(18664,18676) = ( 18664 × 18676) / 4
LCM(18664,18676) = 348568864 / 4
LCM(18664,18676) = 87142216

Least Common Multiple (LCM) of 18664 and 18676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18664 and 18676. First we will calculate the prime factors of 18664 and 18676.

Prime Factorization of 18664

Prime factors of 18664 are 2, 2333. Prime factorization of 18664 in exponential form is:

18664 = 23 × 23331

Prime Factorization of 18676

Prime factors of 18676 are 2, 7, 23, 29. Prime factorization of 18676 in exponential form is:

18676 = 22 × 71 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 18664 and 18676.

LCM(18664,18676) = 23 × 23331 × 71 × 231 × 291
LCM(18664,18676) = 87142216