What is the Least Common Multiple of 9288 and 9300?

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 9288 and 9300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9288 and 9300, than apply into the LCM equation.

GCF(9288,9300) = 12
LCM(9288,9300) = ( 9288 × 9300) / 12
LCM(9288,9300) = 86378400 / 12
LCM(9288,9300) = 7198200

Least Common Multiple (LCM) of 9288 and 9300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9288 and 9300. First we will calculate the prime factors of 9288 and 9300.

Prime Factorization of 9288

Prime Factorization of 9300

Now multiplying the highest exponent prime factors to calculate the LCM of 9288 and 9300.

LCM(9288,9300) = 2³ × 3³ × 43¹ × 5² × 31¹
LCM(9288,9300) = 7198200