What is the Least Common Multiple of 28791 and 28806?

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 28791 and 28806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28791 and 28806, than apply into the LCM equation.

GCF(28791,28806) = 3
LCM(28791,28806) = ( 28791 × 28806) / 3
LCM(28791,28806) = 829353546 / 3
LCM(28791,28806) = 276451182

Least Common Multiple (LCM) of 28791 and 28806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28791 and 28806. First we will calculate the prime factors of 28791 and 28806.

Prime Factorization of 28791

Prime Factorization of 28806

Now multiplying the highest exponent prime factors to calculate the LCM of 28791 and 28806.

LCM(28791,28806) = 3² × 7¹ × 457¹ × 2¹ × 4801¹
LCM(28791,28806) = 276451182