What is the Least Common Multiple of 28700 and 28704?

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 28700 and 28704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28700 and 28704, than apply into the LCM equation.

GCF(28700,28704) = 4
LCM(28700,28704) = ( 28700 × 28704) / 4
LCM(28700,28704) = 823804800 / 4
LCM(28700,28704) = 205951200

Least Common Multiple (LCM) of 28700 and 28704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28700 and 28704. First we will calculate the prime factors of 28700 and 28704.

Prime Factorization of 28700

Prime Factorization of 28704

Now multiplying the highest exponent prime factors to calculate the LCM of 28700 and 28704.

LCM(28700,28704) = 2⁵ × 5² × 7¹ × 41¹ × 3¹ × 13¹ × 23¹
LCM(28700,28704) = 205951200