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What is the Least Common Multiple of 18687 and 18702?

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 18687 and 18702 is 116494758.

LCM(18687,18702) = 116494758

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Least Common Multiple of 18687 and 18702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18687 and 18702, than apply into the LCM equation.

GCF(18687,18702) = 3
LCM(18687,18702) = ( 18687 × 18702) / 3
LCM(18687,18702) = 349484274 / 3
LCM(18687,18702) = 116494758

Least Common Multiple (LCM) of 18687 and 18702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18687 and 18702. First we will calculate the prime factors of 18687 and 18702.

Prime Factorization of 18687

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

18687 = 31 × 62291

Prime Factorization of 18702

Prime factors of 18702 are 2, 3, 1039. Prime factorization of 18702 in exponential form is:

18702 = 21 × 32 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 18687 and 18702.

LCM(18687,18702) = 32 × 62291 × 21 × 10391
LCM(18687,18702) = 116494758