What is the Least Common Multiple of 33123 and 33140?

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 33140 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 33140, than apply into the LCM equation.

GCF(33123,33140) = 1
LCM(33123,33140) = ( 33123 × 33140) / 1
LCM(33123,33140) = 1097696220 / 1
LCM(33123,33140) = 1097696220

Least Common Multiple (LCM) of 33123 and 33140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33123 and 33140. First we will calculate the prime factors of 33123 and 33140.

Prime Factorization of 33123

Prime Factorization of 33140

Now multiplying the highest exponent prime factors to calculate the LCM of 33123 and 33140.

LCM(33123,33140) = 3¹ × 61¹ × 181¹ × 2² × 5¹ × 1657¹
LCM(33123,33140) = 1097696220