What is the Least Common Multiple of 11685 and 11695?

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 11685 and 11695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11685 and 11695, than apply into the LCM equation.

GCF(11685,11695) = 5
LCM(11685,11695) = ( 11685 × 11695) / 5
LCM(11685,11695) = 136656075 / 5
LCM(11685,11695) = 27331215

Least Common Multiple (LCM) of 11685 and 11695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11685 and 11695. First we will calculate the prime factors of 11685 and 11695.

Prime Factorization of 11685

Prime Factorization of 11695

Now multiplying the highest exponent prime factors to calculate the LCM of 11685 and 11695.

LCM(11685,11695) = 3¹ × 5¹ × 19¹ × 41¹ × 2339¹
LCM(11685,11695) = 27331215