What is the Least Common Multiple of 11696 and 11716?

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 11696 and 11716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11696 and 11716, than apply into the LCM equation.

GCF(11696,11716) = 4
LCM(11696,11716) = ( 11696 × 11716) / 4
LCM(11696,11716) = 137030336 / 4
LCM(11696,11716) = 34257584

Least Common Multiple (LCM) of 11696 and 11716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11696 and 11716. First we will calculate the prime factors of 11696 and 11716.

Prime Factorization of 11696

Prime Factorization of 11716

Now multiplying the highest exponent prime factors to calculate the LCM of 11696 and 11716.

LCM(11696,11716) = 2⁴ × 17¹ × 43¹ × 29¹ × 101¹
LCM(11696,11716) = 34257584