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What is the Least Common Multiple of 9891 and 9903?

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 9891 and 9903 is 32650191.

LCM(9891,9903) = 32650191

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Least Common Multiple of 9891 and 9903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9891 and 9903, than apply into the LCM equation.

GCF(9891,9903) = 3
LCM(9891,9903) = ( 9891 × 9903) / 3
LCM(9891,9903) = 97950573 / 3
LCM(9891,9903) = 32650191

Least Common Multiple (LCM) of 9891 and 9903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9891 and 9903. First we will calculate the prime factors of 9891 and 9903.

Prime Factorization of 9891

Prime factors of 9891 are 3, 7, 157. Prime factorization of 9891 in exponential form is:

9891 = 32 × 71 × 1571

Prime Factorization of 9903

Prime factors of 9903 are 3, 3301. Prime factorization of 9903 in exponential form is:

9903 = 31 × 33011

Now multiplying the highest exponent prime factors to calculate the LCM of 9891 and 9903.

LCM(9891,9903) = 32 × 71 × 1571 × 33011
LCM(9891,9903) = 32650191