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What is the Least Common Multiple of 11571 and 11590?

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 11590 is 7058310.

LCM(11571,11590) = 7058310

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Least Common Multiple of 11571 and 11590 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 11590, than apply into the LCM equation.

GCF(11571,11590) = 19
LCM(11571,11590) = ( 11571 × 11590) / 19
LCM(11571,11590) = 134107890 / 19
LCM(11571,11590) = 7058310

Least Common Multiple (LCM) of 11571 and 11590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11571 and 11590. First we will calculate the prime factors of 11571 and 11590.

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 11590

Prime factors of 11590 are 2, 5, 19, 61. Prime factorization of 11590 in exponential form is:

11590 = 21 × 51 × 191 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 11571 and 11590.

LCM(11571,11590) = 31 × 71 × 191 × 291 × 21 × 51 × 611
LCM(11571,11590) = 7058310