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What is the Least Common Multiple of 9982 and 9993?

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 9993 is 99750126.

LCM(9982,9993) = 99750126

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Least Common Multiple of 9982 and 9993 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 9993, than apply into the LCM equation.

GCF(9982,9993) = 1
LCM(9982,9993) = ( 9982 × 9993) / 1
LCM(9982,9993) = 99750126 / 1
LCM(9982,9993) = 99750126

Least Common Multiple (LCM) of 9982 and 9993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9982 and 9993. First we will calculate the prime factors of 9982 and 9993.

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 9993

Prime factors of 9993 are 3, 3331. Prime factorization of 9993 in exponential form is:

9993 = 31 × 33311

Now multiplying the highest exponent prime factors to calculate the LCM of 9982 and 9993.

LCM(9982,9993) = 21 × 71 × 231 × 311 × 31 × 33311
LCM(9982,9993) = 99750126