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What is the Least Common Multiple of 9981 and 9991?

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 9981 and 9991 is 99720171.

LCM(9981,9991) = 99720171

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Least Common Multiple of 9981 and 9991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9981 and 9991, than apply into the LCM equation.

GCF(9981,9991) = 1
LCM(9981,9991) = ( 9981 × 9991) / 1
LCM(9981,9991) = 99720171 / 1
LCM(9981,9991) = 99720171

Least Common Multiple (LCM) of 9981 and 9991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9981 and 9991. First we will calculate the prime factors of 9981 and 9991.

Prime Factorization of 9981

Prime factors of 9981 are 3, 1109. Prime factorization of 9981 in exponential form is:

9981 = 32 × 11091

Prime Factorization of 9991

Prime factors of 9991 are 97, 103. Prime factorization of 9991 in exponential form is:

9991 = 971 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9981 and 9991.

LCM(9981,9991) = 32 × 11091 × 971 × 1031
LCM(9981,9991) = 99720171