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What is the Least Common Multiple of 9839 and 9856?

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 9856 is 96973184.

LCM(9839,9856) = 96973184

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Least Common Multiple of 9839 and 9856 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 9856, than apply into the LCM equation.

GCF(9839,9856) = 1
LCM(9839,9856) = ( 9839 × 9856) / 1
LCM(9839,9856) = 96973184 / 1
LCM(9839,9856) = 96973184

Least Common Multiple (LCM) of 9839 and 9856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9839 and 9856. First we will calculate the prime factors of 9839 and 9856.

Prime Factorization of 9839

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

9839 = 98391

Prime Factorization of 9856

Prime factors of 9856 are 2, 7, 11. Prime factorization of 9856 in exponential form is:

9856 = 27 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 9839 and 9856.

LCM(9839,9856) = 98391 × 27 × 71 × 111
LCM(9839,9856) = 96973184