What is the Least Common Multiple of 23349 and 23358?

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 23349 and 23358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23349 and 23358, than apply into the LCM equation.

GCF(23349,23358) = 3
LCM(23349,23358) = ( 23349 × 23358) / 3
LCM(23349,23358) = 545385942 / 3
LCM(23349,23358) = 181795314

Least Common Multiple (LCM) of 23349 and 23358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23349 and 23358. First we will calculate the prime factors of 23349 and 23358.

Prime Factorization of 23349

Prime Factorization of 23358

Now multiplying the highest exponent prime factors to calculate the LCM of 23349 and 23358.

LCM(23349,23358) = 3¹ × 43¹ × 181¹ × 2¹ × 17¹ × 229¹
LCM(23349,23358) = 181795314