What is the Least Common Multiple of 11680 and 11700?

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 11700 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 11700, than apply into the LCM equation.

GCF(11680,11700) = 20
LCM(11680,11700) = ( 11680 × 11700) / 20
LCM(11680,11700) = 136656000 / 20
LCM(11680,11700) = 6832800

Least Common Multiple (LCM) of 11680 and 11700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11680 and 11700. First we will calculate the prime factors of 11680 and 11700.

Prime Factorization of 11680

Prime Factorization of 11700

Now multiplying the highest exponent prime factors to calculate the LCM of 11680 and 11700.

LCM(11680,11700) = 2⁵ × 5² × 73¹ × 3² × 13¹
LCM(11680,11700) = 6832800