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What is the Least Common Multiple of 9939 and 9946?

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 9939 and 9946 is 98853294.

LCM(9939,9946) = 98853294

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Least Common Multiple of 9939 and 9946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9939 and 9946, than apply into the LCM equation.

GCF(9939,9946) = 1
LCM(9939,9946) = ( 9939 × 9946) / 1
LCM(9939,9946) = 98853294 / 1
LCM(9939,9946) = 98853294

Least Common Multiple (LCM) of 9939 and 9946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9939 and 9946. First we will calculate the prime factors of 9939 and 9946.

Prime Factorization of 9939

Prime factors of 9939 are 3, 3313. Prime factorization of 9939 in exponential form is:

9939 = 31 × 33131

Prime Factorization of 9946

Prime factors of 9946 are 2, 4973. Prime factorization of 9946 in exponential form is:

9946 = 21 × 49731

Now multiplying the highest exponent prime factors to calculate the LCM of 9939 and 9946.

LCM(9939,9946) = 31 × 33131 × 21 × 49731
LCM(9939,9946) = 98853294