What is the Least Common Multiple of 33024 and 33036?

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 33036 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 33036, than apply into the LCM equation.

GCF(33024,33036) = 12
LCM(33024,33036) = ( 33024 × 33036) / 12
LCM(33024,33036) = 1090980864 / 12
LCM(33024,33036) = 90915072

Least Common Multiple (LCM) of 33024 and 33036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33024 and 33036. First we will calculate the prime factors of 33024 and 33036.

Prime Factorization of 33024

Prime Factorization of 33036

Now multiplying the highest exponent prime factors to calculate the LCM of 33024 and 33036.

LCM(33024,33036) = 2⁸ × 3¹ × 43¹ × 2753¹
LCM(33024,33036) = 90915072