What is the Least Common Multiple of 72264 and 72270?

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 72264 and 72270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72264 and 72270, than apply into the LCM equation.

GCF(72264,72270) = 6
LCM(72264,72270) = ( 72264 × 72270) / 6
LCM(72264,72270) = 5222519280 / 6
LCM(72264,72270) = 870419880

Least Common Multiple (LCM) of 72264 and 72270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72264 and 72270. First we will calculate the prime factors of 72264 and 72270.

Prime Factorization of 72264

Prime Factorization of 72270

Now multiplying the highest exponent prime factors to calculate the LCM of 72264 and 72270.

LCM(72264,72270) = 2³ × 3² × 3011¹ × 5¹ × 11¹ × 73¹
LCM(72264,72270) = 870419880