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What is the Least Common Multiple of 9819 and 9839?

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 9819 and 9839 is 96609141.

LCM(9819,9839) = 96609141

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Least Common Multiple of 9819 and 9839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9819 and 9839, than apply into the LCM equation.

GCF(9819,9839) = 1
LCM(9819,9839) = ( 9819 × 9839) / 1
LCM(9819,9839) = 96609141 / 1
LCM(9819,9839) = 96609141

Least Common Multiple (LCM) of 9819 and 9839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9819 and 9839. First we will calculate the prime factors of 9819 and 9839.

Prime Factorization of 9819

Prime factors of 9819 are 3, 1091. Prime factorization of 9819 in exponential form is:

9819 = 32 × 10911

Prime Factorization of 9839

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

9839 = 98391

Now multiplying the highest exponent prime factors to calculate the LCM of 9819 and 9839.

LCM(9819,9839) = 32 × 10911 × 98391
LCM(9819,9839) = 96609141