What is the Least Common Multiple of 93024 and 93039?

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 93024 and 93039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93024 and 93039, than apply into the LCM equation.

GCF(93024,93039) = 3
LCM(93024,93039) = ( 93024 × 93039) / 3
LCM(93024,93039) = 8654859936 / 3
LCM(93024,93039) = 2884953312

Least Common Multiple (LCM) of 93024 and 93039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93024 and 93039. First we will calculate the prime factors of 93024 and 93039.

Prime Factorization of 93024

Prime Factorization of 93039

Now multiplying the highest exponent prime factors to calculate the LCM of 93024 and 93039.

LCM(93024,93039) = 2⁵ × 3² × 17¹ × 19¹ × 31013¹
LCM(93024,93039) = 2884953312