What is the Least Common Multiple of 28506 and 28512?

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 28506 and 28512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28506 and 28512, than apply into the LCM equation.

GCF(28506,28512) = 6
LCM(28506,28512) = ( 28506 × 28512) / 6
LCM(28506,28512) = 812763072 / 6
LCM(28506,28512) = 135460512

Least Common Multiple (LCM) of 28506 and 28512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28506 and 28512. First we will calculate the prime factors of 28506 and 28512.

Prime Factorization of 28506

Prime Factorization of 28512

Now multiplying the highest exponent prime factors to calculate the LCM of 28506 and 28512.

LCM(28506,28512) = 2⁵ × 3⁴ × 4751¹ × 11¹
LCM(28506,28512) = 135460512