What is the Least Common Multiple of 72306 and 72315?

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 72306 and 72315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72306 and 72315, than apply into the LCM equation.

GCF(72306,72315) = 9
LCM(72306,72315) = ( 72306 × 72315) / 9
LCM(72306,72315) = 5228808390 / 9
LCM(72306,72315) = 580978710

Least Common Multiple (LCM) of 72306 and 72315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72306 and 72315. First we will calculate the prime factors of 72306 and 72315.

Prime Factorization of 72306

Prime Factorization of 72315

Now multiplying the highest exponent prime factors to calculate the LCM of 72306 and 72315.

LCM(72306,72315) = 2¹ × 3³ × 13¹ × 103¹ × 5¹ × 1607¹
LCM(72306,72315) = 580978710