What is the Least Common Multiple of 26604 and 26620?

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 26604 and 26620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26604 and 26620, than apply into the LCM equation.

GCF(26604,26620) = 4
LCM(26604,26620) = ( 26604 × 26620) / 4
LCM(26604,26620) = 708198480 / 4
LCM(26604,26620) = 177049620

Least Common Multiple (LCM) of 26604 and 26620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26604 and 26620. First we will calculate the prime factors of 26604 and 26620.

Prime Factorization of 26604

Prime Factorization of 26620

Now multiplying the highest exponent prime factors to calculate the LCM of 26604 and 26620.

LCM(26604,26620) = 2² × 3² × 739¹ × 5¹ × 11³
LCM(26604,26620) = 177049620