What is the Least Common Multiple of 11875 and 11889?

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 11875 and 11889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11875 and 11889, than apply into the LCM equation.

GCF(11875,11889) = 1
LCM(11875,11889) = ( 11875 × 11889) / 1
LCM(11875,11889) = 141181875 / 1
LCM(11875,11889) = 141181875

Least Common Multiple (LCM) of 11875 and 11889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11875 and 11889. First we will calculate the prime factors of 11875 and 11889.

Prime Factorization of 11875

Prime Factorization of 11889

Now multiplying the highest exponent prime factors to calculate the LCM of 11875 and 11889.

LCM(11875,11889) = 5⁴ × 19¹ × 3² × 1321¹
LCM(11875,11889) = 141181875