What is the Least Common Multiple of 28431 and 28449?

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 28431 and 28449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28431 and 28449, than apply into the LCM equation.

GCF(28431,28449) = 9
LCM(28431,28449) = ( 28431 × 28449) / 9
LCM(28431,28449) = 808833519 / 9
LCM(28431,28449) = 89870391

Least Common Multiple (LCM) of 28431 and 28449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28431 and 28449. First we will calculate the prime factors of 28431 and 28449.

Prime Factorization of 28431

Prime Factorization of 28449

Now multiplying the highest exponent prime factors to calculate the LCM of 28431 and 28449.

LCM(28431,28449) = 3⁷ × 13¹ × 29¹ × 109¹
LCM(28431,28449) = 89870391