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What is the Least Common Multiple of 9919 and 9939?

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 9919 and 9939 is 98584941.

LCM(9919,9939) = 98584941

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Least Common Multiple of 9919 and 9939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9919 and 9939, than apply into the LCM equation.

GCF(9919,9939) = 1
LCM(9919,9939) = ( 9919 × 9939) / 1
LCM(9919,9939) = 98584941 / 1
LCM(9919,9939) = 98584941

Least Common Multiple (LCM) of 9919 and 9939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9919 and 9939. First we will calculate the prime factors of 9919 and 9939.

Prime Factorization of 9919

Prime factors of 9919 are 7, 13, 109. Prime factorization of 9919 in exponential form is:

9919 = 71 × 131 × 1091

Prime Factorization of 9939

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

9939 = 31 × 33131

Now multiplying the highest exponent prime factors to calculate the LCM of 9919 and 9939.

LCM(9919,9939) = 71 × 131 × 1091 × 31 × 33131
LCM(9919,9939) = 98584941