What is the Least Common Multiple of 9216 and 9225?

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 9225 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 9225, than apply into the LCM equation.

GCF(9216,9225) = 9
LCM(9216,9225) = ( 9216 × 9225) / 9
LCM(9216,9225) = 85017600 / 9
LCM(9216,9225) = 9446400

Least Common Multiple (LCM) of 9216 and 9225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9216 and 9225. First we will calculate the prime factors of 9216 and 9225.

Prime Factorization of 9216

Prime Factorization of 9225

Now multiplying the highest exponent prime factors to calculate the LCM of 9216 and 9225.

LCM(9216,9225) = 2¹⁰ × 3² × 5² × 41¹
LCM(9216,9225) = 9446400