What is the Least Common Multiple of 11496 and 11511?

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 11496 and 11511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11496 and 11511, than apply into the LCM equation.

GCF(11496,11511) = 3
LCM(11496,11511) = ( 11496 × 11511) / 3
LCM(11496,11511) = 132330456 / 3
LCM(11496,11511) = 44110152

Least Common Multiple (LCM) of 11496 and 11511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11496 and 11511. First we will calculate the prime factors of 11496 and 11511.

Prime Factorization of 11496

Prime Factorization of 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 11496 and 11511.

LCM(11496,11511) = 2³ × 3² × 479¹ × 1279¹
LCM(11496,11511) = 44110152