What is the Least Common Multiple of 28782 and 28796?

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 28782 and 28796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28782 and 28796, than apply into the LCM equation.

GCF(28782,28796) = 2
LCM(28782,28796) = ( 28782 × 28796) / 2
LCM(28782,28796) = 828806472 / 2
LCM(28782,28796) = 414403236

Least Common Multiple (LCM) of 28782 and 28796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28782 and 28796. First we will calculate the prime factors of 28782 and 28796.

Prime Factorization of 28782

Prime Factorization of 28796

Now multiplying the highest exponent prime factors to calculate the LCM of 28782 and 28796.

LCM(28782,28796) = 2² × 3³ × 13¹ × 41¹ × 23¹ × 313¹
LCM(28782,28796) = 414403236