What is the Least Common Multiple of 28704 and 28719?

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 28719 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 28719, than apply into the LCM equation.

GCF(28704,28719) = 3
LCM(28704,28719) = ( 28704 × 28719) / 3
LCM(28704,28719) = 824350176 / 3
LCM(28704,28719) = 274783392

Least Common Multiple (LCM) of 28704 and 28719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28704 and 28719. First we will calculate the prime factors of 28704 and 28719.

Prime Factorization of 28704

Prime Factorization of 28719

Now multiplying the highest exponent prime factors to calculate the LCM of 28704 and 28719.

LCM(28704,28719) = 2⁵ × 3² × 13¹ × 23¹ × 3191¹
LCM(28704,28719) = 274783392