What is the Least Common Multiple of 28844 and 28858?

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 28844 and 28858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28844 and 28858, than apply into the LCM equation.

GCF(28844,28858) = 2
LCM(28844,28858) = ( 28844 × 28858) / 2
LCM(28844,28858) = 832380152 / 2
LCM(28844,28858) = 416190076

Least Common Multiple (LCM) of 28844 and 28858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28844 and 28858. First we will calculate the prime factors of 28844 and 28858.

Prime Factorization of 28844

Prime Factorization of 28858

Now multiplying the highest exponent prime factors to calculate the LCM of 28844 and 28858.

LCM(28844,28858) = 2² × 7211¹ × 47¹ × 307¹
LCM(28844,28858) = 416190076