What is the Least Common Multiple of 11695 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 11695 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 11695 and 11705, than apply into the LCM equation.

GCF(11695,11705) = 5
LCM(11695,11705) = ( 11695 × 11705) / 5
LCM(11695,11705) = 136889975 / 5
LCM(11695,11705) = 27377995

Least Common Multiple (LCM) of 11695 and 11705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11695 and 11705. First we will calculate the prime factors of 11695 and 11705.

Prime Factorization of 11695

Prime Factorization of 11705

Now multiplying the highest exponent prime factors to calculate the LCM of 11695 and 11705.

LCM(11695,11705) = 5¹ × 2339¹ × 2341¹
LCM(11695,11705) = 27377995