What is the Least Common Multiple of 11687 and 11705?

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 11687 and 11705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11687 and 11705, than apply into the LCM equation.

GCF(11687,11705) = 1
LCM(11687,11705) = ( 11687 × 11705) / 1
LCM(11687,11705) = 136796335 / 1
LCM(11687,11705) = 136796335

Least Common Multiple (LCM) of 11687 and 11705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11687 and 11705. First we will calculate the prime factors of 11687 and 11705.

Prime Factorization of 11687

Prime Factorization of 11705

Now multiplying the highest exponent prime factors to calculate the LCM of 11687 and 11705.

LCM(11687,11705) = 13¹ × 29¹ × 31¹ × 5¹ × 2341¹
LCM(11687,11705) = 136796335