What is the Least Common Multiple of 33099 and 33108?

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 33099 and 33108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33099 and 33108, than apply into the LCM equation.

GCF(33099,33108) = 3
LCM(33099,33108) = ( 33099 × 33108) / 3
LCM(33099,33108) = 1095841692 / 3
LCM(33099,33108) = 365280564

Least Common Multiple (LCM) of 33099 and 33108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33099 and 33108. First we will calculate the prime factors of 33099 and 33108.

Prime Factorization of 33099

Prime Factorization of 33108

Now multiplying the highest exponent prime factors to calculate the LCM of 33099 and 33108.

LCM(33099,33108) = 3¹ × 11¹ × 17¹ × 59¹ × 2² × 31¹ × 89¹
LCM(33099,33108) = 365280564