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What is the Least Common Multiple of 11482 and 11501?

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 11482 and 11501 is 132054482.

LCM(11482,11501) = 132054482

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Least Common Multiple of 11482 and 11501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11482 and 11501, than apply into the LCM equation.

GCF(11482,11501) = 1
LCM(11482,11501) = ( 11482 × 11501) / 1
LCM(11482,11501) = 132054482 / 1
LCM(11482,11501) = 132054482

Least Common Multiple (LCM) of 11482 and 11501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11482 and 11501. First we will calculate the prime factors of 11482 and 11501.

Prime Factorization of 11482

Prime factors of 11482 are 2, 5741. Prime factorization of 11482 in exponential form is:

11482 = 21 × 57411

Prime Factorization of 11501

Prime factors of 11501 are 7, 31, 53. Prime factorization of 11501 in exponential form is:

11501 = 71 × 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 11482 and 11501.

LCM(11482,11501) = 21 × 57411 × 71 × 311 × 531
LCM(11482,11501) = 132054482