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What is the Least Common Multiple of 28571 and 28584?

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 28571 and 28584 is 816673464.

LCM(28571,28584) = 816673464

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Least Common Multiple of 28571 and 28584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28571 and 28584, than apply into the LCM equation.

GCF(28571,28584) = 1
LCM(28571,28584) = ( 28571 × 28584) / 1
LCM(28571,28584) = 816673464 / 1
LCM(28571,28584) = 816673464

Least Common Multiple (LCM) of 28571 and 28584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28571 and 28584. First we will calculate the prime factors of 28571 and 28584.

Prime Factorization of 28571

Prime factors of 28571 are 28571. Prime factorization of 28571 in exponential form is:

28571 = 285711

Prime Factorization of 28584

Prime factors of 28584 are 2, 3, 397. Prime factorization of 28584 in exponential form is:

28584 = 23 × 32 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 28571 and 28584.

LCM(28571,28584) = 285711 × 23 × 32 × 3971
LCM(28571,28584) = 816673464