What is the Least Common Multiple of 27024 and 27039?

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 27024 and 27039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27024 and 27039, than apply into the LCM equation.

GCF(27024,27039) = 3
LCM(27024,27039) = ( 27024 × 27039) / 3
LCM(27024,27039) = 730701936 / 3
LCM(27024,27039) = 243567312

Least Common Multiple (LCM) of 27024 and 27039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27024 and 27039. First we will calculate the prime factors of 27024 and 27039.

Prime Factorization of 27024

Prime Factorization of 27039

Now multiplying the highest exponent prime factors to calculate the LCM of 27024 and 27039.

LCM(27024,27039) = 2⁴ × 3¹ × 563¹ × 9013¹
LCM(27024,27039) = 243567312