What is the Least Common Multiple of 23325 and 23343?

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 23325 and 23343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23325 and 23343, than apply into the LCM equation.

GCF(23325,23343) = 3
LCM(23325,23343) = ( 23325 × 23343) / 3
LCM(23325,23343) = 544475475 / 3
LCM(23325,23343) = 181491825

Least Common Multiple (LCM) of 23325 and 23343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23325 and 23343. First we will calculate the prime factors of 23325 and 23343.

Prime Factorization of 23325

Prime Factorization of 23343

Now multiplying the highest exponent prime factors to calculate the LCM of 23325 and 23343.

LCM(23325,23343) = 3¹ × 5² × 311¹ × 31¹ × 251¹
LCM(23325,23343) = 181491825