What is the Least Common Multiple of 15594 and 15612?

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 15594 and 15612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15594 and 15612, than apply into the LCM equation.

GCF(15594,15612) = 6
LCM(15594,15612) = ( 15594 × 15612) / 6
LCM(15594,15612) = 243453528 / 6
LCM(15594,15612) = 40575588

Least Common Multiple (LCM) of 15594 and 15612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15594 and 15612. First we will calculate the prime factors of 15594 and 15612.

Prime Factorization of 15594

Prime Factorization of 15612

Now multiplying the highest exponent prime factors to calculate the LCM of 15594 and 15612.

LCM(15594,15612) = 2² × 3¹ × 23¹ × 113¹ × 1301¹
LCM(15594,15612) = 40575588