What is the Least Common Multiple of 9399 and 9417?

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 9399 and 9417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9399 and 9417, than apply into the LCM equation.

GCF(9399,9417) = 3
LCM(9399,9417) = ( 9399 × 9417) / 3
LCM(9399,9417) = 88510383 / 3
LCM(9399,9417) = 29503461

Least Common Multiple (LCM) of 9399 and 9417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9399 and 9417. First we will calculate the prime factors of 9399 and 9417.

Prime Factorization of 9399

Prime Factorization of 9417

Now multiplying the highest exponent prime factors to calculate the LCM of 9399 and 9417.

LCM(9399,9417) = 3¹ × 13¹ × 241¹ × 43¹ × 73¹
LCM(9399,9417) = 29503461