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What is the Least Common Multiple of 9863 and 9881?

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 9863 and 9881 is 97456303.

LCM(9863,9881) = 97456303

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Least Common Multiple of 9863 and 9881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9863 and 9881, than apply into the LCM equation.

GCF(9863,9881) = 1
LCM(9863,9881) = ( 9863 × 9881) / 1
LCM(9863,9881) = 97456303 / 1
LCM(9863,9881) = 97456303

Least Common Multiple (LCM) of 9863 and 9881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9863 and 9881. First we will calculate the prime factors of 9863 and 9881.

Prime Factorization of 9863

Prime factors of 9863 are 7, 1409. Prime factorization of 9863 in exponential form is:

9863 = 71 × 14091

Prime Factorization of 9881

Prime factors of 9881 are 41, 241. Prime factorization of 9881 in exponential form is:

9881 = 411 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 9863 and 9881.

LCM(9863,9881) = 71 × 14091 × 411 × 2411
LCM(9863,9881) = 97456303