What is the Least Common Multiple of 99384 and 99388?

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 99384 and 99388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99384 and 99388, than apply into the LCM equation.

GCF(99384,99388) = 4
LCM(99384,99388) = ( 99384 × 99388) / 4
LCM(99384,99388) = 9877576992 / 4
LCM(99384,99388) = 2469394248

Least Common Multiple (LCM) of 99384 and 99388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99384 and 99388. First we will calculate the prime factors of 99384 and 99388.

Prime Factorization of 99384

Prime Factorization of 99388

Now multiplying the highest exponent prime factors to calculate the LCM of 99384 and 99388.

LCM(99384,99388) = 2³ × 3¹ × 41¹ × 101¹ × 24847¹
LCM(99384,99388) = 2469394248