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What is the Least Common Multiple of 18087 and 18095?

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 18087 and 18095 is 327284265.

LCM(18087,18095) = 327284265

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Least Common Multiple of 18087 and 18095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18087 and 18095, than apply into the LCM equation.

GCF(18087,18095) = 1
LCM(18087,18095) = ( 18087 × 18095) / 1
LCM(18087,18095) = 327284265 / 1
LCM(18087,18095) = 327284265

Least Common Multiple (LCM) of 18087 and 18095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18087 and 18095. First we will calculate the prime factors of 18087 and 18095.

Prime Factorization of 18087

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

18087 = 31 × 60291

Prime Factorization of 18095

Prime factors of 18095 are 5, 7, 11, 47. Prime factorization of 18095 in exponential form is:

18095 = 51 × 71 × 111 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 18087 and 18095.

LCM(18087,18095) = 31 × 60291 × 51 × 71 × 111 × 471
LCM(18087,18095) = 327284265