What is the Least Common Multiple of 28407 and 28422?

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 28407 and 28422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28407 and 28422, than apply into the LCM equation.

GCF(28407,28422) = 3
LCM(28407,28422) = ( 28407 × 28422) / 3
LCM(28407,28422) = 807383754 / 3
LCM(28407,28422) = 269127918

Least Common Multiple (LCM) of 28407 and 28422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28407 and 28422. First we will calculate the prime factors of 28407 and 28422.

Prime Factorization of 28407

Prime Factorization of 28422

Now multiplying the highest exponent prime factors to calculate the LCM of 28407 and 28422.

LCM(28407,28422) = 3² × 17¹ × 557¹ × 2¹ × 1579¹
LCM(28407,28422) = 269127918