What is the Least Common Multiple of 9384 and 9396?

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 9384 and 9396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9384 and 9396, than apply into the LCM equation.

GCF(9384,9396) = 12
LCM(9384,9396) = ( 9384 × 9396) / 12
LCM(9384,9396) = 88172064 / 12
LCM(9384,9396) = 7347672

Least Common Multiple (LCM) of 9384 and 9396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9384 and 9396. First we will calculate the prime factors of 9384 and 9396.

Prime Factorization of 9384

Prime Factorization of 9396

Now multiplying the highest exponent prime factors to calculate the LCM of 9384 and 9396.

LCM(9384,9396) = 2³ × 3⁴ × 17¹ × 23¹ × 29¹
LCM(9384,9396) = 7347672