What is the Least Common Multiple of 10875 and 10890?

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 10875 and 10890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10875 and 10890, than apply into the LCM equation.

GCF(10875,10890) = 15
LCM(10875,10890) = ( 10875 × 10890) / 15
LCM(10875,10890) = 118428750 / 15
LCM(10875,10890) = 7895250

Least Common Multiple (LCM) of 10875 and 10890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10875 and 10890. First we will calculate the prime factors of 10875 and 10890.

Prime Factorization of 10875

Prime Factorization of 10890

Now multiplying the highest exponent prime factors to calculate the LCM of 10875 and 10890.

LCM(10875,10890) = 3² × 5³ × 29¹ × 2¹ × 11²
LCM(10875,10890) = 7895250