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What is the Least Common Multiple of 18004 and 18015?

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 18004 and 18015 is 324342060.

LCM(18004,18015) = 324342060

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Least Common Multiple of 18004 and 18015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18004 and 18015, than apply into the LCM equation.

GCF(18004,18015) = 1
LCM(18004,18015) = ( 18004 × 18015) / 1
LCM(18004,18015) = 324342060 / 1
LCM(18004,18015) = 324342060

Least Common Multiple (LCM) of 18004 and 18015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18004 and 18015. First we will calculate the prime factors of 18004 and 18015.

Prime Factorization of 18004

Prime factors of 18004 are 2, 7, 643. Prime factorization of 18004 in exponential form is:

18004 = 22 × 71 × 6431

Prime Factorization of 18015

Prime factors of 18015 are 3, 5, 1201. Prime factorization of 18015 in exponential form is:

18015 = 31 × 51 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 18004 and 18015.

LCM(18004,18015) = 22 × 71 × 6431 × 31 × 51 × 12011
LCM(18004,18015) = 324342060