What is the Least Common Multiple of 33024 and 33038?

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 33024 and 33038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33024 and 33038, than apply into the LCM equation.

GCF(33024,33038) = 2
LCM(33024,33038) = ( 33024 × 33038) / 2
LCM(33024,33038) = 1091046912 / 2
LCM(33024,33038) = 545523456

Least Common Multiple (LCM) of 33024 and 33038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33024 and 33038. First we will calculate the prime factors of 33024 and 33038.

Prime Factorization of 33024

Prime Factorization of 33038

Now multiplying the highest exponent prime factors to calculate the LCM of 33024 and 33038.

LCM(33024,33038) = 2⁸ × 3¹ × 43¹ × 16519¹
LCM(33024,33038) = 545523456