What is the Least Common Multiple of 33105 and 33123?

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 33105 and 33123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33105 and 33123, than apply into the LCM equation.

GCF(33105,33123) = 3
LCM(33105,33123) = ( 33105 × 33123) / 3
LCM(33105,33123) = 1096536915 / 3
LCM(33105,33123) = 365512305

Least Common Multiple (LCM) of 33105 and 33123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33105 and 33123. First we will calculate the prime factors of 33105 and 33123.

Prime Factorization of 33105

Prime Factorization of 33123

Now multiplying the highest exponent prime factors to calculate the LCM of 33105 and 33123.

LCM(33105,33123) = 3¹ × 5¹ × 2207¹ × 61¹ × 181¹
LCM(33105,33123) = 365512305