What is the Least Common Multiple of 33156 and 33165?

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 33156 and 33165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33156 and 33165, than apply into the LCM equation.

GCF(33156,33165) = 9
LCM(33156,33165) = ( 33156 × 33165) / 9
LCM(33156,33165) = 1099618740 / 9
LCM(33156,33165) = 122179860

Least Common Multiple (LCM) of 33156 and 33165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33156 and 33165. First we will calculate the prime factors of 33156 and 33165.

Prime Factorization of 33156

Prime Factorization of 33165

Now multiplying the highest exponent prime factors to calculate the LCM of 33156 and 33165.

LCM(33156,33165) = 2² × 3³ × 307¹ × 5¹ × 11¹ × 67¹
LCM(33156,33165) = 122179860