What is the Least Common Multiple of 33075 and 33080?

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 33075 and 33080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33075 and 33080, than apply into the LCM equation.

GCF(33075,33080) = 5
LCM(33075,33080) = ( 33075 × 33080) / 5
LCM(33075,33080) = 1094121000 / 5
LCM(33075,33080) = 218824200

Least Common Multiple (LCM) of 33075 and 33080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33075 and 33080. First we will calculate the prime factors of 33075 and 33080.

Prime Factorization of 33075

Prime Factorization of 33080

Now multiplying the highest exponent prime factors to calculate the LCM of 33075 and 33080.

LCM(33075,33080) = 3³ × 5² × 7² × 2³ × 827¹
LCM(33075,33080) = 218824200