What is the Least Common Multiple of 11889 and 11908?

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 11889 and 11908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11889 and 11908, than apply into the LCM equation.

GCF(11889,11908) = 1
LCM(11889,11908) = ( 11889 × 11908) / 1
LCM(11889,11908) = 141574212 / 1
LCM(11889,11908) = 141574212

Least Common Multiple (LCM) of 11889 and 11908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11889 and 11908. First we will calculate the prime factors of 11889 and 11908.

Prime Factorization of 11889

Prime Factorization of 11908

Now multiplying the highest exponent prime factors to calculate the LCM of 11889 and 11908.

LCM(11889,11908) = 3² × 1321¹ × 2² × 13¹ × 229¹
LCM(11889,11908) = 141574212