What is the Least Common Multiple of 28858 and 28876?

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 28858 and 28876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28858 and 28876, than apply into the LCM equation.

GCF(28858,28876) = 2
LCM(28858,28876) = ( 28858 × 28876) / 2
LCM(28858,28876) = 833303608 / 2
LCM(28858,28876) = 416651804

Least Common Multiple (LCM) of 28858 and 28876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28858 and 28876. First we will calculate the prime factors of 28858 and 28876.

Prime Factorization of 28858

Prime Factorization of 28876

Now multiplying the highest exponent prime factors to calculate the LCM of 28858 and 28876.

LCM(28858,28876) = 2² × 47¹ × 307¹ × 7219¹
LCM(28858,28876) = 416651804