What is the Least Common Multiple of 28480 and 28500?

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 28480 and 28500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28480 and 28500, than apply into the LCM equation.

GCF(28480,28500) = 20
LCM(28480,28500) = ( 28480 × 28500) / 20
LCM(28480,28500) = 811680000 / 20
LCM(28480,28500) = 40584000

Least Common Multiple (LCM) of 28480 and 28500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28480 and 28500. First we will calculate the prime factors of 28480 and 28500.

Prime Factorization of 28480

Prime Factorization of 28500

Now multiplying the highest exponent prime factors to calculate the LCM of 28480 and 28500.

LCM(28480,28500) = 2⁶ × 5³ × 89¹ × 3¹ × 19¹
LCM(28480,28500) = 40584000