What is the Least Common Multiple of 23319 and 23337?

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 23319 and 23337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23319 and 23337, than apply into the LCM equation.

GCF(23319,23337) = 9
LCM(23319,23337) = ( 23319 × 23337) / 9
LCM(23319,23337) = 544195503 / 9
LCM(23319,23337) = 60466167

Least Common Multiple (LCM) of 23319 and 23337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23319 and 23337. First we will calculate the prime factors of 23319 and 23337.

Prime Factorization of 23319

Prime Factorization of 23337

Now multiplying the highest exponent prime factors to calculate the LCM of 23319 and 23337.

LCM(23319,23337) = 3² × 2591¹ × 2593¹
LCM(23319,23337) = 60466167