What is the Least Common Multiple of 99024 and 99039?

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 99024 and 99039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99024 and 99039, than apply into the LCM equation.

GCF(99024,99039) = 3
LCM(99024,99039) = ( 99024 × 99039) / 3
LCM(99024,99039) = 9807237936 / 3
LCM(99024,99039) = 3269079312

Least Common Multiple (LCM) of 99024 and 99039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99024 and 99039. First we will calculate the prime factors of 99024 and 99039.

Prime Factorization of 99024

Prime Factorization of 99039

Now multiplying the highest exponent prime factors to calculate the LCM of 99024 and 99039.

LCM(99024,99039) = 2⁴ × 3¹ × 2063¹ × 33013¹
LCM(99024,99039) = 3269079312