What is the Least Common Multiple of 33564 and 33582?

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 33564 and 33582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33564 and 33582, than apply into the LCM equation.

GCF(33564,33582) = 6
LCM(33564,33582) = ( 33564 × 33582) / 6
LCM(33564,33582) = 1127146248 / 6
LCM(33564,33582) = 187857708

Least Common Multiple (LCM) of 33564 and 33582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33564 and 33582. First we will calculate the prime factors of 33564 and 33582.

Prime Factorization of 33564

Prime Factorization of 33582

Now multiplying the highest exponent prime factors to calculate the LCM of 33564 and 33582.

LCM(33564,33582) = 2² × 3¹ × 2797¹ × 29¹ × 193¹
LCM(33564,33582) = 187857708