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What is the Least Common Multiple of 99854 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 99854 and 99863 is 9971720002.

LCM(99854,99863) = 9971720002

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Least Common Multiple of 99854 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 99854 and 99863, than apply into the LCM equation.

GCF(99854,99863) = 1
LCM(99854,99863) = ( 99854 × 99863) / 1
LCM(99854,99863) = 9971720002 / 1
LCM(99854,99863) = 9971720002

Least Common Multiple (LCM) of 99854 and 99863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99854 and 99863. First we will calculate the prime factors of 99854 and 99863.

Prime Factorization of 99854

Prime factors of 99854 are 2, 49927. Prime factorization of 99854 in exponential form is:

99854 = 21 × 499271

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 99854 and 99863.

LCM(99854,99863) = 21 × 499271 × 371 × 26991
LCM(99854,99863) = 9971720002