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What is the Least Common Multiple of 99881 and 99893?

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 99881 and 99893 is 9977412733.

LCM(99881,99893) = 9977412733

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Least Common Multiple of 99881 and 99893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99881 and 99893, than apply into the LCM equation.

GCF(99881,99893) = 1
LCM(99881,99893) = ( 99881 × 99893) / 1
LCM(99881,99893) = 9977412733 / 1
LCM(99881,99893) = 9977412733

Least Common Multiple (LCM) of 99881 and 99893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99881 and 99893. First we will calculate the prime factors of 99881 and 99893.

Prime Factorization of 99881

Prime factors of 99881 are 99881. Prime factorization of 99881 in exponential form is:

99881 = 998811

Prime Factorization of 99893

Prime factors of 99893 are 191, 523. Prime factorization of 99893 in exponential form is:

99893 = 1911 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 99881 and 99893.

LCM(99881,99893) = 998811 × 1911 × 5231
LCM(99881,99893) = 9977412733