What is the Least Common Multiple of 11680 and 11696?

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 11680 and 11696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11680 and 11696, than apply into the LCM equation.

GCF(11680,11696) = 16
LCM(11680,11696) = ( 11680 × 11696) / 16
LCM(11680,11696) = 136609280 / 16
LCM(11680,11696) = 8538080

Least Common Multiple (LCM) of 11680 and 11696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11680 and 11696. First we will calculate the prime factors of 11680 and 11696.

Prime Factorization of 11680

Prime Factorization of 11696

Now multiplying the highest exponent prime factors to calculate the LCM of 11680 and 11696.

LCM(11680,11696) = 2⁵ × 5¹ × 73¹ × 17¹ × 43¹
LCM(11680,11696) = 8538080