What is the Least Common Multiple of 18597 and 18612?

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 of 18597 and 18612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18597 and 18612, than apply into the LCM equation.

GCF(18597,18612) = 3
LCM(18597,18612) = ( 18597 × 18612) / 3
LCM(18597,18612) = 346127364 / 3
LCM(18597,18612) = 115375788

Least Common Multiple (LCM) of 18597 and 18612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18597 and 18612. First we will calculate the prime factors of 18597 and 18612.

Prime Factorization of 18597

Prime Factorization of 18612

Now multiplying the highest exponent prime factors to calculate the LCM of 18597 and 18612.

LCM(18597,18612) = 3² × 6199¹ × 2² × 11¹ × 47¹
LCM(18597,18612) = 115375788