What is the Least Common Multiple of 22860 and 22875?

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 22860 and 22875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22860 and 22875, than apply into the LCM equation.

GCF(22860,22875) = 15
LCM(22860,22875) = ( 22860 × 22875) / 15
LCM(22860,22875) = 522922500 / 15
LCM(22860,22875) = 34861500

Least Common Multiple (LCM) of 22860 and 22875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22860 and 22875. First we will calculate the prime factors of 22860 and 22875.

Prime Factorization of 22860

Prime Factorization of 22875

Now multiplying the highest exponent prime factors to calculate the LCM of 22860 and 22875.

LCM(22860,22875) = 2² × 3² × 5³ × 127¹ × 61¹
LCM(22860,22875) = 34861500