What is the Least Common Multiple of 11696 and 11714?

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 11714 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 11714, than apply into the LCM equation.

GCF(11696,11714) = 2
LCM(11696,11714) = ( 11696 × 11714) / 2
LCM(11696,11714) = 137006944 / 2
LCM(11696,11714) = 68503472

Least Common Multiple (LCM) of 11696 and 11714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11696 and 11714. First we will calculate the prime factors of 11696 and 11714.

Prime Factorization of 11696

Prime Factorization of 11714

Now multiplying the highest exponent prime factors to calculate the LCM of 11696 and 11714.

LCM(11696,11714) = 2⁴ × 17¹ × 43¹ × 5857¹
LCM(11696,11714) = 68503472