What is the Least Common Multiple of 28284 and 28299?

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 28284 and 28299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28284 and 28299, than apply into the LCM equation.

GCF(28284,28299) = 3
LCM(28284,28299) = ( 28284 × 28299) / 3
LCM(28284,28299) = 800408916 / 3
LCM(28284,28299) = 266802972

Least Common Multiple (LCM) of 28284 and 28299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28284 and 28299. First we will calculate the prime factors of 28284 and 28299.

Prime Factorization of 28284

Prime Factorization of 28299

Now multiplying the highest exponent prime factors to calculate the LCM of 28284 and 28299.

LCM(28284,28299) = 2² × 3¹ × 2357¹ × 9433¹
LCM(28284,28299) = 266802972