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What is the Least Common Multiple of 9939 and 9955?

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 9955 is 98942745.

LCM(9939,9955) = 98942745

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Least Common Multiple of 9939 and 9955 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 9955, than apply into the LCM equation.

GCF(9939,9955) = 1
LCM(9939,9955) = ( 9939 × 9955) / 1
LCM(9939,9955) = 98942745 / 1
LCM(9939,9955) = 98942745

Least Common Multiple (LCM) of 9939 and 9955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9939 and 9955. First we will calculate the prime factors of 9939 and 9955.

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 9955

Prime factors of 9955 are 5, 11, 181. Prime factorization of 9955 in exponential form is:

9955 = 51 × 111 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 9939 and 9955.

LCM(9939,9955) = 31 × 33131 × 51 × 111 × 1811
LCM(9939,9955) = 98942745