What is the Least Common Multiple of 10875 and 10887?

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 10887 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 10887, than apply into the LCM equation.

GCF(10875,10887) = 3
LCM(10875,10887) = ( 10875 × 10887) / 3
LCM(10875,10887) = 118396125 / 3
LCM(10875,10887) = 39465375

Least Common Multiple (LCM) of 10875 and 10887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10875 and 10887. First we will calculate the prime factors of 10875 and 10887.

Prime Factorization of 10875

Prime Factorization of 10887

Now multiplying the highest exponent prime factors to calculate the LCM of 10875 and 10887.

LCM(10875,10887) = 3¹ × 5³ × 29¹ × 19¹ × 191¹
LCM(10875,10887) = 39465375