What is the Least Common Multiple of 28879 and 28886?

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 28879 and 28886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28879 and 28886, than apply into the LCM equation.

GCF(28879,28886) = 1
LCM(28879,28886) = ( 28879 × 28886) / 1
LCM(28879,28886) = 834198794 / 1
LCM(28879,28886) = 834198794

Least Common Multiple (LCM) of 28879 and 28886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28879 and 28886. First we will calculate the prime factors of 28879 and 28886.

Prime Factorization of 28879

Prime Factorization of 28886

Now multiplying the highest exponent prime factors to calculate the LCM of 28879 and 28886.

LCM(28879,28886) = 28879¹ × 2¹ × 11¹ × 13¹ × 101¹
LCM(28879,28886) = 834198794