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What is the Least Common Multiple of 18668 and 18687?

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 18668 and 18687 is 348848916.

LCM(18668,18687) = 348848916

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Least Common Multiple of 18668 and 18687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18668 and 18687, than apply into the LCM equation.

GCF(18668,18687) = 1
LCM(18668,18687) = ( 18668 × 18687) / 1
LCM(18668,18687) = 348848916 / 1
LCM(18668,18687) = 348848916

Least Common Multiple (LCM) of 18668 and 18687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18668 and 18687. First we will calculate the prime factors of 18668 and 18687.

Prime Factorization of 18668

Prime factors of 18668 are 2, 13, 359. Prime factorization of 18668 in exponential form is:

18668 = 22 × 131 × 3591

Prime Factorization of 18687

Prime factors of 18687 are 3, 6229. Prime factorization of 18687 in exponential form is:

18687 = 31 × 62291

Now multiplying the highest exponent prime factors to calculate the LCM of 18668 and 18687.

LCM(18668,18687) = 22 × 131 × 3591 × 31 × 62291
LCM(18668,18687) = 348848916