What is the Least Common Multiple of 23307 and 23319?

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 23307 and 23319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23307 and 23319, than apply into the LCM equation.

GCF(23307,23319) = 3
LCM(23307,23319) = ( 23307 × 23319) / 3
LCM(23307,23319) = 543495933 / 3
LCM(23307,23319) = 181165311

Least Common Multiple (LCM) of 23307 and 23319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23307 and 23319. First we will calculate the prime factors of 23307 and 23319.

Prime Factorization of 23307

Prime Factorization of 23319

Now multiplying the highest exponent prime factors to calculate the LCM of 23307 and 23319.

LCM(23307,23319) = 3² × 17¹ × 457¹ × 2591¹
LCM(23307,23319) = 181165311