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What is the Least Common Multiple of 99859 and 99863?

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 99859 and 99863 is 9972219317.

LCM(99859,99863) = 9972219317

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Least Common Multiple of 99859 and 99863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99859 and 99863, than apply into the LCM equation.

GCF(99859,99863) = 1
LCM(99859,99863) = ( 99859 × 99863) / 1
LCM(99859,99863) = 9972219317 / 1
LCM(99859,99863) = 9972219317

Least Common Multiple (LCM) of 99859 and 99863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99859 and 99863. First we will calculate the prime factors of 99859 and 99863.

Prime Factorization of 99859

Prime factors of 99859 are 99859. Prime factorization of 99859 in exponential form is:

99859 = 998591

Prime Factorization of 99863

Prime factors of 99863 are 37, 2699. Prime factorization of 99863 in exponential form is:

99863 = 371 × 26991

Now multiplying the highest exponent prime factors to calculate the LCM of 99859 and 99863.

LCM(99859,99863) = 998591 × 371 × 26991
LCM(99859,99863) = 9972219317