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What is the Least Common Multiple of 96857 and 96863?

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 96857 and 96863 is 9381859591.

LCM(96857,96863) = 9381859591

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Least Common Multiple of 96857 and 96863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96857 and 96863, than apply into the LCM equation.

GCF(96857,96863) = 1
LCM(96857,96863) = ( 96857 × 96863) / 1
LCM(96857,96863) = 9381859591 / 1
LCM(96857,96863) = 9381859591

Least Common Multiple (LCM) of 96857 and 96863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96857 and 96863. First we will calculate the prime factors of 96857 and 96863.

Prime Factorization of 96857

Prime factors of 96857 are 96857. Prime factorization of 96857 in exponential form is:

96857 = 968571

Prime Factorization of 96863

Prime factors of 96863 are 13, 7451. Prime factorization of 96863 in exponential form is:

96863 = 131 × 74511

Now multiplying the highest exponent prime factors to calculate the LCM of 96857 and 96863.

LCM(96857,96863) = 968571 × 131 × 74511
LCM(96857,96863) = 9381859591