What is the Least Common Multiple of 23222 and 23239?

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 23222 and 23239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23222 and 23239, than apply into the LCM equation.

GCF(23222,23239) = 17
LCM(23222,23239) = ( 23222 × 23239) / 17
LCM(23222,23239) = 539656058 / 17
LCM(23222,23239) = 31744474

Least Common Multiple (LCM) of 23222 and 23239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23222 and 23239. First we will calculate the prime factors of 23222 and 23239.

Prime Factorization of 23222

Prime Factorization of 23239

Now multiplying the highest exponent prime factors to calculate the LCM of 23222 and 23239.

LCM(23222,23239) = 2¹ × 17¹ × 683¹ × 1367¹
LCM(23222,23239) = 31744474