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What is the Least Common Multiple of 9929 and 9935?

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 9929 and 9935 is 98644615.

LCM(9929,9935) = 98644615

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Least Common Multiple of 9929 and 9935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9929 and 9935, than apply into the LCM equation.

GCF(9929,9935) = 1
LCM(9929,9935) = ( 9929 × 9935) / 1
LCM(9929,9935) = 98644615 / 1
LCM(9929,9935) = 98644615

Least Common Multiple (LCM) of 9929 and 9935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9929 and 9935. First we will calculate the prime factors of 9929 and 9935.

Prime Factorization of 9929

Prime factors of 9929 are 9929. Prime factorization of 9929 in exponential form is:

9929 = 99291

Prime Factorization of 9935

Prime factors of 9935 are 5, 1987. Prime factorization of 9935 in exponential form is:

9935 = 51 × 19871

Now multiplying the highest exponent prime factors to calculate the LCM of 9929 and 9935.

LCM(9929,9935) = 99291 × 51 × 19871
LCM(9929,9935) = 98644615