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What is the Least Common Multiple of 18008 and 18020?

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 18008 and 18020 is 81126040.

LCM(18008,18020) = 81126040

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Least Common Multiple of 18008 and 18020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18008 and 18020, than apply into the LCM equation.

GCF(18008,18020) = 4
LCM(18008,18020) = ( 18008 × 18020) / 4
LCM(18008,18020) = 324504160 / 4
LCM(18008,18020) = 81126040

Least Common Multiple (LCM) of 18008 and 18020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18008 and 18020. First we will calculate the prime factors of 18008 and 18020.

Prime Factorization of 18008

Prime factors of 18008 are 2, 2251. Prime factorization of 18008 in exponential form is:

18008 = 23 × 22511

Prime Factorization of 18020

Prime factors of 18020 are 2, 5, 17, 53. Prime factorization of 18020 in exponential form is:

18020 = 22 × 51 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 18008 and 18020.

LCM(18008,18020) = 23 × 22511 × 51 × 171 × 531
LCM(18008,18020) = 81126040