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What is the Least Common Multiple of 9839 and 9851?

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 9839 and 9851 is 96923989.

LCM(9839,9851) = 96923989

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Least Common Multiple of 9839 and 9851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9839 and 9851, than apply into the LCM equation.

GCF(9839,9851) = 1
LCM(9839,9851) = ( 9839 × 9851) / 1
LCM(9839,9851) = 96923989 / 1
LCM(9839,9851) = 96923989

Least Common Multiple (LCM) of 9839 and 9851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9839 and 9851. First we will calculate the prime factors of 9839 and 9851.

Prime Factorization of 9839

Prime factors of 9839 are 9839. Prime factorization of 9839 in exponential form is:

9839 = 98391

Prime Factorization of 9851

Prime factors of 9851 are 9851. Prime factorization of 9851 in exponential form is:

9851 = 98511

Now multiplying the highest exponent prime factors to calculate the LCM of 9839 and 9851.

LCM(9839,9851) = 98391 × 98511
LCM(9839,9851) = 96923989