What is the Least Common Multiple of 72612 and 72621?

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 72612 and 72621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72612 and 72621, than apply into the LCM equation.

GCF(72612,72621) = 9
LCM(72612,72621) = ( 72612 × 72621) / 9
LCM(72612,72621) = 5273156052 / 9
LCM(72612,72621) = 585906228

Least Common Multiple (LCM) of 72612 and 72621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72612 and 72621. First we will calculate the prime factors of 72612 and 72621.

Prime Factorization of 72612

Prime Factorization of 72621

Now multiplying the highest exponent prime factors to calculate the LCM of 72612 and 72621.

LCM(72612,72621) = 2² × 3² × 2017¹ × 8069¹
LCM(72612,72621) = 585906228