What is the Least Common Multiple of 11480 and 11487?

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 11480 and 11487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11480 and 11487, than apply into the LCM equation.

GCF(11480,11487) = 7
LCM(11480,11487) = ( 11480 × 11487) / 7
LCM(11480,11487) = 131870760 / 7
LCM(11480,11487) = 18838680

Least Common Multiple (LCM) of 11480 and 11487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11480 and 11487. First we will calculate the prime factors of 11480 and 11487.

Prime Factorization of 11480

Prime Factorization of 11487

Now multiplying the highest exponent prime factors to calculate the LCM of 11480 and 11487.

LCM(11480,11487) = 2³ × 5¹ × 7¹ × 41¹ × 3¹ × 547¹
LCM(11480,11487) = 18838680