What is the Least Common Multiple of 33123 and 33141?

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 33123 and 33141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33123 and 33141, than apply into the LCM equation.

GCF(33123,33141) = 3
LCM(33123,33141) = ( 33123 × 33141) / 3
LCM(33123,33141) = 1097729343 / 3
LCM(33123,33141) = 365909781

Least Common Multiple (LCM) of 33123 and 33141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33123 and 33141. First we will calculate the prime factors of 33123 and 33141.

Prime Factorization of 33123

Prime Factorization of 33141

Now multiplying the highest exponent prime factors to calculate the LCM of 33123 and 33141.

LCM(33123,33141) = 3¹ × 61¹ × 181¹ × 11047¹
LCM(33123,33141) = 365909781