What is the Least Common Multiple of 99372 and 99384?

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 99372 and 99384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99372 and 99384, than apply into the LCM equation.

GCF(99372,99384) = 12
LCM(99372,99384) = ( 99372 × 99384) / 12
LCM(99372,99384) = 9875986848 / 12
LCM(99372,99384) = 822998904

Least Common Multiple (LCM) of 99372 and 99384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99372 and 99384. First we will calculate the prime factors of 99372 and 99384.

Prime Factorization of 99372

Prime Factorization of 99384

Now multiplying the highest exponent prime factors to calculate the LCM of 99372 and 99384.

LCM(99372,99384) = 2³ × 3¹ × 7² × 13² × 41¹ × 101¹
LCM(99372,99384) = 822998904