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What is the Least Common Multiple of 83857 and 83871?

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 83857 and 83871 is 7033170447.

LCM(83857,83871) = 7033170447

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Least Common Multiple of 83857 and 83871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83857 and 83871, than apply into the LCM equation.

GCF(83857,83871) = 1
LCM(83857,83871) = ( 83857 × 83871) / 1
LCM(83857,83871) = 7033170447 / 1
LCM(83857,83871) = 7033170447

Least Common Multiple (LCM) of 83857 and 83871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83857 and 83871. First we will calculate the prime factors of 83857 and 83871.

Prime Factorization of 83857

Prime factors of 83857 are 83857. Prime factorization of 83857 in exponential form is:

83857 = 838571

Prime Factorization of 83871

Prime factors of 83871 are 3, 9319. Prime factorization of 83871 in exponential form is:

83871 = 32 × 93191

Now multiplying the highest exponent prime factors to calculate the LCM of 83857 and 83871.

LCM(83857,83871) = 838571 × 32 × 93191
LCM(83857,83871) = 7033170447