What is the Least Common Multiple of 33006 and 33024?

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 33006 and 33024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33006 and 33024, than apply into the LCM equation.

GCF(33006,33024) = 6
LCM(33006,33024) = ( 33006 × 33024) / 6
LCM(33006,33024) = 1089990144 / 6
LCM(33006,33024) = 181665024

Least Common Multiple (LCM) of 33006 and 33024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33006 and 33024. First we will calculate the prime factors of 33006 and 33024.

Prime Factorization of 33006

Prime Factorization of 33024

Now multiplying the highest exponent prime factors to calculate the LCM of 33006 and 33024.

LCM(33006,33024) = 2⁸ × 3¹ × 5501¹ × 43¹
LCM(33006,33024) = 181665024