What is the Least Common Multiple of 99315 and 99324?

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 99315 and 99324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99315 and 99324, than apply into the LCM equation.

GCF(99315,99324) = 9
LCM(99315,99324) = ( 99315 × 99324) / 9
LCM(99315,99324) = 9864363060 / 9
LCM(99315,99324) = 1096040340

Least Common Multiple (LCM) of 99315 and 99324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99315 and 99324. First we will calculate the prime factors of 99315 and 99324.

Prime Factorization of 99315

Prime Factorization of 99324

Now multiplying the highest exponent prime factors to calculate the LCM of 99315 and 99324.

LCM(99315,99324) = 3² × 5¹ × 2207¹ × 2² × 31¹ × 89¹
LCM(99315,99324) = 1096040340