What is the Least Common Multiple of 9216 and 9222?

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 9216 and 9222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9216 and 9222, than apply into the LCM equation.

GCF(9216,9222) = 6
LCM(9216,9222) = ( 9216 × 9222) / 6
LCM(9216,9222) = 84989952 / 6
LCM(9216,9222) = 14164992

Least Common Multiple (LCM) of 9216 and 9222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9216 and 9222. First we will calculate the prime factors of 9216 and 9222.

Prime Factorization of 9216

Prime Factorization of 9222

Now multiplying the highest exponent prime factors to calculate the LCM of 9216 and 9222.

LCM(9216,9222) = 2¹⁰ × 3² × 29¹ × 53¹
LCM(9216,9222) = 14164992