What is the Least Common Multiple of 11884 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 11884 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 11884 and 11889, than apply into the LCM equation.

GCF(11884,11889) = 1
LCM(11884,11889) = ( 11884 × 11889) / 1
LCM(11884,11889) = 141288876 / 1
LCM(11884,11889) = 141288876

Least Common Multiple (LCM) of 11884 and 11889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11884 and 11889. First we will calculate the prime factors of 11884 and 11889.

Prime Factorization of 11884

Prime Factorization of 11889

Now multiplying the highest exponent prime factors to calculate the LCM of 11884 and 11889.

LCM(11884,11889) = 2² × 2971¹ × 3² × 1321¹
LCM(11884,11889) = 141288876