What is the Least Common Multiple of 9312 and 9330?

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 9312 and 9330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9312 and 9330, than apply into the LCM equation.

GCF(9312,9330) = 6
LCM(9312,9330) = ( 9312 × 9330) / 6
LCM(9312,9330) = 86880960 / 6
LCM(9312,9330) = 14480160

Least Common Multiple (LCM) of 9312 and 9330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9312 and 9330. First we will calculate the prime factors of 9312 and 9330.

Prime Factorization of 9312

Prime Factorization of 9330

Now multiplying the highest exponent prime factors to calculate the LCM of 9312 and 9330.

LCM(9312,9330) = 2⁵ × 3¹ × 97¹ × 5¹ × 311¹
LCM(9312,9330) = 14480160