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What is the Least Common Multiple of 18081 and 18087?

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 18081 and 18087 is 109010349.

LCM(18081,18087) = 109010349

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Least Common Multiple of 18081 and 18087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18081 and 18087, than apply into the LCM equation.

GCF(18081,18087) = 3
LCM(18081,18087) = ( 18081 × 18087) / 3
LCM(18081,18087) = 327031047 / 3
LCM(18081,18087) = 109010349

Least Common Multiple (LCM) of 18081 and 18087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18081 and 18087. First we will calculate the prime factors of 18081 and 18087.

Prime Factorization of 18081

Prime factors of 18081 are 3, 7, 41. Prime factorization of 18081 in exponential form is:

18081 = 32 × 72 × 411

Prime Factorization of 18087

Prime factors of 18087 are 3, 6029. Prime factorization of 18087 in exponential form is:

18087 = 31 × 60291

Now multiplying the highest exponent prime factors to calculate the LCM of 18081 and 18087.

LCM(18081,18087) = 32 × 72 × 411 × 60291
LCM(18081,18087) = 109010349