What is the Least Common Multiple of 2604 and 2622?

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 2604 and 2622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2604 and 2622, than apply into the LCM equation.

GCF(2604,2622) = 6
LCM(2604,2622) = ( 2604 × 2622) / 6
LCM(2604,2622) = 6827688 / 6
LCM(2604,2622) = 1137948

Least Common Multiple (LCM) of 2604 and 2622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2604 and 2622. First we will calculate the prime factors of 2604 and 2622.

Prime Factorization of 2604

Prime Factorization of 2622

Now multiplying the highest exponent prime factors to calculate the LCM of 2604 and 2622.

LCM(2604,2622) = 2² × 3¹ × 7¹ × 31¹ × 19¹ × 23¹
LCM(2604,2622) = 1137948