What is the Least Common Multiple of 33006 and 33018?

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 33018 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 33018, than apply into the LCM equation.

GCF(33006,33018) = 6
LCM(33006,33018) = ( 33006 × 33018) / 6
LCM(33006,33018) = 1089792108 / 6
LCM(33006,33018) = 181632018

Least Common Multiple (LCM) of 33006 and 33018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33006 and 33018. First we will calculate the prime factors of 33006 and 33018.

Prime Factorization of 33006

Prime Factorization of 33018

Now multiplying the highest exponent prime factors to calculate the LCM of 33006 and 33018.

LCM(33006,33018) = 2¹ × 3¹ × 5501¹ × 5503¹
LCM(33006,33018) = 181632018