GCF and LCM Calculator Logo

What is the Least Common Multiple of 18663 and 18675?

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 18663 and 18675 is 116177175.

LCM(18663,18675) = 116177175

LCM Calculator and
and

Least Common Multiple of 18663 and 18675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18663 and 18675, than apply into the LCM equation.

GCF(18663,18675) = 3
LCM(18663,18675) = ( 18663 × 18675) / 3
LCM(18663,18675) = 348531525 / 3
LCM(18663,18675) = 116177175

Least Common Multiple (LCM) of 18663 and 18675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18663 and 18675. First we will calculate the prime factors of 18663 and 18675.

Prime Factorization of 18663

Prime factors of 18663 are 3, 6221. Prime factorization of 18663 in exponential form is:

18663 = 31 × 62211

Prime Factorization of 18675

Prime factors of 18675 are 3, 5, 83. Prime factorization of 18675 in exponential form is:

18675 = 32 × 52 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 18663 and 18675.

LCM(18663,18675) = 32 × 62211 × 52 × 831
LCM(18663,18675) = 116177175