What is the Least Common Multiple of 33080 and 33095?

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 33080 and 33095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33080 and 33095, than apply into the LCM equation.

GCF(33080,33095) = 5
LCM(33080,33095) = ( 33080 × 33095) / 5
LCM(33080,33095) = 1094782600 / 5
LCM(33080,33095) = 218956520

Least Common Multiple (LCM) of 33080 and 33095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33080 and 33095. First we will calculate the prime factors of 33080 and 33095.

Prime Factorization of 33080

Prime Factorization of 33095

Now multiplying the highest exponent prime factors to calculate the LCM of 33080 and 33095.

LCM(33080,33095) = 2³ × 5¹ × 827¹ × 6619¹
LCM(33080,33095) = 218956520