What is the Least Common Multiple of 28704 and 28720?

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 28720 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 28720, than apply into the LCM equation.

GCF(28704,28720) = 16
LCM(28704,28720) = ( 28704 × 28720) / 16
LCM(28704,28720) = 824378880 / 16
LCM(28704,28720) = 51523680

Least Common Multiple (LCM) of 28704 and 28720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28704 and 28720. First we will calculate the prime factors of 28704 and 28720.

Prime Factorization of 28704

Prime Factorization of 28720

Now multiplying the highest exponent prime factors to calculate the LCM of 28704 and 28720.

LCM(28704,28720) = 2⁵ × 3¹ × 13¹ × 23¹ × 5¹ × 359¹
LCM(28704,28720) = 51523680