What is the Least Common Multiple of 33165 and 33183?

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 33165 and 33183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33165 and 33183, than apply into the LCM equation.

GCF(33165,33183) = 9
LCM(33165,33183) = ( 33165 × 33183) / 9
LCM(33165,33183) = 1100514195 / 9
LCM(33165,33183) = 122279355

Least Common Multiple (LCM) of 33165 and 33183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33165 and 33183. First we will calculate the prime factors of 33165 and 33183.

Prime Factorization of 33165

Prime Factorization of 33183

Now multiplying the highest exponent prime factors to calculate the LCM of 33165 and 33183.

LCM(33165,33183) = 3³ × 5¹ × 11¹ × 67¹ × 1229¹
LCM(33165,33183) = 122279355