What is the Least Common Multiple of 33582 and 33591?

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 33582 and 33591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33582 and 33591, than apply into the LCM equation.

GCF(33582,33591) = 3
LCM(33582,33591) = ( 33582 × 33591) / 3
LCM(33582,33591) = 1128052962 / 3
LCM(33582,33591) = 376017654

Least Common Multiple (LCM) of 33582 and 33591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33582 and 33591. First we will calculate the prime factors of 33582 and 33591.

Prime Factorization of 33582

Prime Factorization of 33591

Now multiplying the highest exponent prime factors to calculate the LCM of 33582 and 33591.

LCM(33582,33591) = 2¹ × 3¹ × 29¹ × 193¹ × 11197¹
LCM(33582,33591) = 376017654