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What is the Least Common Multiple of 9919 and 9934?

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 9934 is 98535346.

LCM(9919,9934) = 98535346

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Least Common Multiple of 9919 and 9934 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 9934, than apply into the LCM equation.

GCF(9919,9934) = 1
LCM(9919,9934) = ( 9919 × 9934) / 1
LCM(9919,9934) = 98535346 / 1
LCM(9919,9934) = 98535346

Least Common Multiple (LCM) of 9919 and 9934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9919 and 9934. First we will calculate the prime factors of 9919 and 9934.

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 9934

Prime factors of 9934 are 2, 4967. Prime factorization of 9934 in exponential form is:

9934 = 21 × 49671

Now multiplying the highest exponent prime factors to calculate the LCM of 9919 and 9934.

LCM(9919,9934) = 71 × 131 × 1091 × 21 × 49671
LCM(9919,9934) = 98535346