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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 (LCM) of 11496 and 11511 is 44110152.

LCM(11496,11511) = 44110152

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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 factors of 11496 are 2, 3, 479. Prime factorization of 11496 in exponential form is:

11496 = 23 × 31 × 4791

Prime Factorization of 11511

Prime factors of 11511 are 3, 1279. Prime factorization of 11511 in exponential form is:

11511 = 32 × 12791

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