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What is the Least Common Multiple of 9893 and 9899?

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 9893 and 9899 is 97930807.

LCM(9893,9899) = 97930807

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Least Common Multiple of 9893 and 9899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9893 and 9899, than apply into the LCM equation.

GCF(9893,9899) = 1
LCM(9893,9899) = ( 9893 × 9899) / 1
LCM(9893,9899) = 97930807 / 1
LCM(9893,9899) = 97930807

Least Common Multiple (LCM) of 9893 and 9899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9893 and 9899. First we will calculate the prime factors of 9893 and 9899.

Prime Factorization of 9893

Prime factors of 9893 are 13, 761. Prime factorization of 9893 in exponential form is:

9893 = 131 × 7611

Prime Factorization of 9899

Prime factors of 9899 are 19, 521. Prime factorization of 9899 in exponential form is:

9899 = 191 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 9893 and 9899.

LCM(9893,9899) = 131 × 7611 × 191 × 5211
LCM(9893,9899) = 97930807