What is the Least Common Multiple of 9288 and 9308?

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 9308 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 9308, than apply into the LCM equation.

GCF(9288,9308) = 4
LCM(9288,9308) = ( 9288 × 9308) / 4
LCM(9288,9308) = 86452704 / 4
LCM(9288,9308) = 21613176

Least Common Multiple (LCM) of 9288 and 9308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9288 and 9308. First we will calculate the prime factors of 9288 and 9308.

Prime Factorization of 9288

Prime Factorization of 9308

Now multiplying the highest exponent prime factors to calculate the LCM of 9288 and 9308.

LCM(9288,9308) = 2³ × 3³ × 43¹ × 13¹ × 179¹
LCM(9288,9308) = 21613176