What is the Least Common Multiple of 28512 and 28520?

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 28512 and 28520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28512 and 28520, than apply into the LCM equation.

GCF(28512,28520) = 8
LCM(28512,28520) = ( 28512 × 28520) / 8
LCM(28512,28520) = 813162240 / 8
LCM(28512,28520) = 101645280

Least Common Multiple (LCM) of 28512 and 28520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28512 and 28520. First we will calculate the prime factors of 28512 and 28520.

Prime Factorization of 28512

Prime Factorization of 28520

Now multiplying the highest exponent prime factors to calculate the LCM of 28512 and 28520.

LCM(28512,28520) = 2⁵ × 3⁴ × 11¹ × 5¹ × 23¹ × 31¹
LCM(28512,28520) = 101645280