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What is the Least Common Multiple of 9931 and 9950?

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 9931 and 9950 is 98813450.

LCM(9931,9950) = 98813450

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Least Common Multiple of 9931 and 9950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9931 and 9950, than apply into the LCM equation.

GCF(9931,9950) = 1
LCM(9931,9950) = ( 9931 × 9950) / 1
LCM(9931,9950) = 98813450 / 1
LCM(9931,9950) = 98813450

Least Common Multiple (LCM) of 9931 and 9950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9931 and 9950. First we will calculate the prime factors of 9931 and 9950.

Prime Factorization of 9931

Prime factors of 9931 are 9931. Prime factorization of 9931 in exponential form is:

9931 = 99311

Prime Factorization of 9950

Prime factors of 9950 are 2, 5, 199. Prime factorization of 9950 in exponential form is:

9950 = 21 × 52 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 9931 and 9950.

LCM(9931,9950) = 99311 × 21 × 52 × 1991
LCM(9931,9950) = 98813450