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What is the Least Common Multiple of 99881 and 99886?

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 99886 is 9976713566.

LCM(99881,99886) = 9976713566

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Least Common Multiple of 99881 and 99886 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 99886, than apply into the LCM equation.

GCF(99881,99886) = 1
LCM(99881,99886) = ( 99881 × 99886) / 1
LCM(99881,99886) = 9976713566 / 1
LCM(99881,99886) = 9976713566

Least Common Multiple (LCM) of 99881 and 99886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99881 and 99886. First we will calculate the prime factors of 99881 and 99886.

Prime Factorization of 99881

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

99881 = 998811

Prime Factorization of 99886

Prime factors of 99886 are 2, 49943. Prime factorization of 99886 in exponential form is:

99886 = 21 × 499431

Now multiplying the highest exponent prime factors to calculate the LCM of 99881 and 99886.

LCM(99881,99886) = 998811 × 21 × 499431
LCM(99881,99886) = 9976713566