What is the Least Common Multiple of 23284 and 23299?

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 23284 and 23299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23284 and 23299, than apply into the LCM equation.

GCF(23284,23299) = 1
LCM(23284,23299) = ( 23284 × 23299) / 1
LCM(23284,23299) = 542493916 / 1
LCM(23284,23299) = 542493916

Least Common Multiple (LCM) of 23284 and 23299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23284 and 23299. First we will calculate the prime factors of 23284 and 23299.

Prime Factorization of 23284

Prime Factorization of 23299

Now multiplying the highest exponent prime factors to calculate the LCM of 23284 and 23299.

LCM(23284,23299) = 2² × 5821¹ × 23¹ × 1013¹
LCM(23284,23299) = 542493916