What is the Least Common Multiple of 28875 and 28880?

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 28875 and 28880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28875 and 28880, than apply into the LCM equation.

GCF(28875,28880) = 5
LCM(28875,28880) = ( 28875 × 28880) / 5
LCM(28875,28880) = 833910000 / 5
LCM(28875,28880) = 166782000

Least Common Multiple (LCM) of 28875 and 28880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28875 and 28880. First we will calculate the prime factors of 28875 and 28880.

Prime Factorization of 28875

Prime Factorization of 28880

Now multiplying the highest exponent prime factors to calculate the LCM of 28875 and 28880.

LCM(28875,28880) = 3¹ × 5³ × 7¹ × 11¹ × 2⁴ × 19²
LCM(28875,28880) = 166782000