What is the Least Common Multiple of 11566 and 11580?

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 11566 and 11580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11566 and 11580, than apply into the LCM equation.

GCF(11566,11580) = 2
LCM(11566,11580) = ( 11566 × 11580) / 2
LCM(11566,11580) = 133934280 / 2
LCM(11566,11580) = 66967140

Least Common Multiple (LCM) of 11566 and 11580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11566 and 11580. First we will calculate the prime factors of 11566 and 11580.

Prime Factorization of 11566

Prime Factorization of 11580

Now multiplying the highest exponent prime factors to calculate the LCM of 11566 and 11580.

LCM(11566,11580) = 2² × 5783¹ × 3¹ × 5¹ × 193¹
LCM(11566,11580) = 66967140