What is the Least Common Multiple of 33080 and 33099?

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 33099 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 33099, than apply into the LCM equation.

GCF(33080,33099) = 1
LCM(33080,33099) = ( 33080 × 33099) / 1
LCM(33080,33099) = 1094914920 / 1
LCM(33080,33099) = 1094914920

Least Common Multiple (LCM) of 33080 and 33099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33080 and 33099. First we will calculate the prime factors of 33080 and 33099.

Prime Factorization of 33080

Prime Factorization of 33099

Now multiplying the highest exponent prime factors to calculate the LCM of 33080 and 33099.

LCM(33080,33099) = 2³ × 5¹ × 827¹ × 3¹ × 11¹ × 17¹ × 59¹
LCM(33080,33099) = 1094914920