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What is the Least Common Multiple of 18019 and 18024?

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 18019 and 18024 is 324774456.

LCM(18019,18024) = 324774456

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Least Common Multiple of 18019 and 18024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18019 and 18024, than apply into the LCM equation.

GCF(18019,18024) = 1
LCM(18019,18024) = ( 18019 × 18024) / 1
LCM(18019,18024) = 324774456 / 1
LCM(18019,18024) = 324774456

Least Common Multiple (LCM) of 18019 and 18024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18019 and 18024. First we will calculate the prime factors of 18019 and 18024.

Prime Factorization of 18019

Prime factors of 18019 are 37, 487. Prime factorization of 18019 in exponential form is:

18019 = 371 × 4871

Prime Factorization of 18024

Prime factors of 18024 are 2, 3, 751. Prime factorization of 18024 in exponential form is:

18024 = 23 × 31 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 18019 and 18024.

LCM(18019,18024) = 371 × 4871 × 23 × 31 × 7511
LCM(18019,18024) = 324774456