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What is the Least Common Multiple of 9982 and 9997?

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 9982 and 9997 is 99790054.

LCM(9982,9997) = 99790054

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Least Common Multiple of 9982 and 9997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9982 and 9997, than apply into the LCM equation.

GCF(9982,9997) = 1
LCM(9982,9997) = ( 9982 × 9997) / 1
LCM(9982,9997) = 99790054 / 1
LCM(9982,9997) = 99790054

Least Common Multiple (LCM) of 9982 and 9997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9982 and 9997. First we will calculate the prime factors of 9982 and 9997.

Prime Factorization of 9982

Prime factors of 9982 are 2, 7, 23, 31. Prime factorization of 9982 in exponential form is:

9982 = 21 × 71 × 231 × 311

Prime Factorization of 9997

Prime factors of 9997 are 13, 769. Prime factorization of 9997 in exponential form is:

9997 = 131 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 9982 and 9997.

LCM(9982,9997) = 21 × 71 × 231 × 311 × 131 × 7691
LCM(9982,9997) = 99790054