What is the Least Common Multiple of 33549 and 33564?

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 33549 and 33564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33549 and 33564, than apply into the LCM equation.

GCF(33549,33564) = 3
LCM(33549,33564) = ( 33549 × 33564) / 3
LCM(33549,33564) = 1126038636 / 3
LCM(33549,33564) = 375346212

Least Common Multiple (LCM) of 33549 and 33564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33549 and 33564. First we will calculate the prime factors of 33549 and 33564.

Prime Factorization of 33549

Prime Factorization of 33564

Now multiplying the highest exponent prime factors to calculate the LCM of 33549 and 33564.

LCM(33549,33564) = 3¹ × 53¹ × 211¹ × 2² × 2797¹
LCM(33549,33564) = 375346212