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What is the Least Common Multiple of 99121 and 99139?

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 99121 and 99139 is 9826756819.

LCM(99121,99139) = 9826756819

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Least Common Multiple of 99121 and 99139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99121 and 99139, than apply into the LCM equation.

GCF(99121,99139) = 1
LCM(99121,99139) = ( 99121 × 99139) / 1
LCM(99121,99139) = 9826756819 / 1
LCM(99121,99139) = 9826756819

Least Common Multiple (LCM) of 99121 and 99139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99121 and 99139. First we will calculate the prime factors of 99121 and 99139.

Prime Factorization of 99121

Prime factors of 99121 are 11, 9011. Prime factorization of 99121 in exponential form is:

99121 = 111 × 90111

Prime Factorization of 99139

Prime factors of 99139 are 99139. Prime factorization of 99139 in exponential form is:

99139 = 991391

Now multiplying the highest exponent prime factors to calculate the LCM of 99121 and 99139.

LCM(99121,99139) = 111 × 90111 × 991391
LCM(99121,99139) = 9826756819