What is the Least Common Multiple of 9024 and 9039?

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 9024 and 9039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9024 and 9039, than apply into the LCM equation.

GCF(9024,9039) = 3
LCM(9024,9039) = ( 9024 × 9039) / 3
LCM(9024,9039) = 81567936 / 3
LCM(9024,9039) = 27189312

Least Common Multiple (LCM) of 9024 and 9039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9024 and 9039. First we will calculate the prime factors of 9024 and 9039.

Prime Factorization of 9024

Prime Factorization of 9039

Now multiplying the highest exponent prime factors to calculate the LCM of 9024 and 9039.

LCM(9024,9039) = 2⁶ × 3¹ × 47¹ × 23¹ × 131¹
LCM(9024,9039) = 27189312