What is the Least Common Multiple of 9300 and 9312?

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 9300 and 9312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9300 and 9312, than apply into the LCM equation.

GCF(9300,9312) = 12
LCM(9300,9312) = ( 9300 × 9312) / 12
LCM(9300,9312) = 86601600 / 12
LCM(9300,9312) = 7216800

Least Common Multiple (LCM) of 9300 and 9312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9300 and 9312. First we will calculate the prime factors of 9300 and 9312.

Prime Factorization of 9300

Prime Factorization of 9312

Now multiplying the highest exponent prime factors to calculate the LCM of 9300 and 9312.

LCM(9300,9312) = 2⁵ × 3¹ × 5² × 31¹ × 97¹
LCM(9300,9312) = 7216800