What is the Least Common Multiple of 9357 and 9366?

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 9357 and 9366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9357 and 9366, than apply into the LCM equation.

GCF(9357,9366) = 3
LCM(9357,9366) = ( 9357 × 9366) / 3
LCM(9357,9366) = 87637662 / 3
LCM(9357,9366) = 29212554

Least Common Multiple (LCM) of 9357 and 9366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9357 and 9366. First we will calculate the prime factors of 9357 and 9366.

Prime Factorization of 9357

Prime Factorization of 9366

Now multiplying the highest exponent prime factors to calculate the LCM of 9357 and 9366.

LCM(9357,9366) = 3¹ × 3119¹ × 2¹ × 7¹ × 223¹
LCM(9357,9366) = 29212554