What is the Least Common Multiple of 23204 and 23222?

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 23204 and 23222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23204 and 23222, than apply into the LCM equation.

GCF(23204,23222) = 2
LCM(23204,23222) = ( 23204 × 23222) / 2
LCM(23204,23222) = 538843288 / 2
LCM(23204,23222) = 269421644

Least Common Multiple (LCM) of 23204 and 23222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23204 and 23222. First we will calculate the prime factors of 23204 and 23222.

Prime Factorization of 23204

Prime Factorization of 23222

Now multiplying the highest exponent prime factors to calculate the LCM of 23204 and 23222.

LCM(23204,23222) = 2² × 5801¹ × 17¹ × 683¹
LCM(23204,23222) = 269421644