What is the Least Common Multiple of 28705 and 28723?

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 28705 and 28723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28705 and 28723, than apply into the LCM equation.

GCF(28705,28723) = 1
LCM(28705,28723) = ( 28705 × 28723) / 1
LCM(28705,28723) = 824493715 / 1
LCM(28705,28723) = 824493715

Least Common Multiple (LCM) of 28705 and 28723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28705 and 28723. First we will calculate the prime factors of 28705 and 28723.

Prime Factorization of 28705

Prime Factorization of 28723

Now multiplying the highest exponent prime factors to calculate the LCM of 28705 and 28723.

LCM(28705,28723) = 5¹ × 5741¹ × 28723¹
LCM(28705,28723) = 824493715