GCF and LCM Calculator Logo

What is the Least Common Multiple of 18024 and 18044?

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 18024 and 18044 is 81306264.

LCM(18024,18044) = 81306264

LCM Calculator and
and

Least Common Multiple of 18024 and 18044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18024 and 18044, than apply into the LCM equation.

GCF(18024,18044) = 4
LCM(18024,18044) = ( 18024 × 18044) / 4
LCM(18024,18044) = 325225056 / 4
LCM(18024,18044) = 81306264

Least Common Multiple (LCM) of 18024 and 18044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18024 and 18044. First we will calculate the prime factors of 18024 and 18044.

Prime Factorization of 18024

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

18024 = 23 × 31 × 7511

Prime Factorization of 18044

Prime factors of 18044 are 2, 13, 347. Prime factorization of 18044 in exponential form is:

18044 = 22 × 131 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 18024 and 18044.

LCM(18024,18044) = 23 × 31 × 7511 × 131 × 3471
LCM(18024,18044) = 81306264