What is the Least Common Multiple of 23349 and 23363?

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 23363 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 23363, than apply into the LCM equation.

GCF(23349,23363) = 1
LCM(23349,23363) = ( 23349 × 23363) / 1
LCM(23349,23363) = 545502687 / 1
LCM(23349,23363) = 545502687

Least Common Multiple (LCM) of 23349 and 23363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23349 and 23363. First we will calculate the prime factors of 23349 and 23363.

Prime Factorization of 23349

Prime Factorization of 23363

Now multiplying the highest exponent prime factors to calculate the LCM of 23349 and 23363.

LCM(23349,23363) = 3¹ × 43¹ × 181¹ × 61¹ × 383¹
LCM(23349,23363) = 545502687