What is the Least Common Multiple of 23349 and 23353?

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 23353 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 23353, than apply into the LCM equation.

GCF(23349,23353) = 1
LCM(23349,23353) = ( 23349 × 23353) / 1
LCM(23349,23353) = 545269197 / 1
LCM(23349,23353) = 545269197

Least Common Multiple (LCM) of 23349 and 23353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23349 and 23353. First we will calculate the prime factors of 23349 and 23353.

Prime Factorization of 23349

Prime Factorization of 23353

Now multiplying the highest exponent prime factors to calculate the LCM of 23349 and 23353.

LCM(23349,23353) = 3¹ × 43¹ × 181¹ × 11² × 193¹
LCM(23349,23353) = 545269197