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What is the Least Common Multiple of 11571 and 11581?

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 11571 and 11581 is 134003751.

LCM(11571,11581) = 134003751

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Least Common Multiple of 11571 and 11581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11571 and 11581, than apply into the LCM equation.

GCF(11571,11581) = 1
LCM(11571,11581) = ( 11571 × 11581) / 1
LCM(11571,11581) = 134003751 / 1
LCM(11571,11581) = 134003751

Least Common Multiple (LCM) of 11571 and 11581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11571 and 11581. First we will calculate the prime factors of 11571 and 11581.

Prime Factorization of 11571

Prime factors of 11571 are 3, 7, 19, 29. Prime factorization of 11571 in exponential form is:

11571 = 31 × 71 × 191 × 291

Prime Factorization of 11581

Prime factors of 11581 are 37, 313. Prime factorization of 11581 in exponential form is:

11581 = 371 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 11571 and 11581.

LCM(11571,11581) = 31 × 71 × 191 × 291 × 371 × 3131
LCM(11571,11581) = 134003751