What is the Least Common Multiple of 9316 and 9333?

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 9316 and 9333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9316 and 9333, than apply into the LCM equation.

GCF(9316,9333) = 17
LCM(9316,9333) = ( 9316 × 9333) / 17
LCM(9316,9333) = 86946228 / 17
LCM(9316,9333) = 5114484

Least Common Multiple (LCM) of 9316 and 9333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9316 and 9333. First we will calculate the prime factors of 9316 and 9333.

Prime Factorization of 9316

Prime Factorization of 9333

Now multiplying the highest exponent prime factors to calculate the LCM of 9316 and 9333.

LCM(9316,9333) = 2² × 17¹ × 137¹ × 3² × 61¹
LCM(9316,9333) = 5114484