What is the Least Common Multiple of 28704 and 28724?

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 28704 and 28724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28704 and 28724, than apply into the LCM equation.

GCF(28704,28724) = 4
LCM(28704,28724) = ( 28704 × 28724) / 4
LCM(28704,28724) = 824493696 / 4
LCM(28704,28724) = 206123424

Least Common Multiple (LCM) of 28704 and 28724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28704 and 28724. First we will calculate the prime factors of 28704 and 28724.

Prime Factorization of 28704

Prime Factorization of 28724

Now multiplying the highest exponent prime factors to calculate the LCM of 28704 and 28724.

LCM(28704,28724) = 2⁵ × 3¹ × 13¹ × 23¹ × 43¹ × 167¹
LCM(28704,28724) = 206123424