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What is the Least Common Multiple of 9693 and 9699?

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 9693 and 9699 is 31337469.

LCM(9693,9699) = 31337469

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Least Common Multiple of 9693 and 9699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9693 and 9699, than apply into the LCM equation.

GCF(9693,9699) = 3
LCM(9693,9699) = ( 9693 × 9699) / 3
LCM(9693,9699) = 94012407 / 3
LCM(9693,9699) = 31337469

Least Common Multiple (LCM) of 9693 and 9699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9693 and 9699. First we will calculate the prime factors of 9693 and 9699.

Prime Factorization of 9693

Prime factors of 9693 are 3, 359. Prime factorization of 9693 in exponential form is:

9693 = 33 × 3591

Prime Factorization of 9699

Prime factors of 9699 are 3, 53, 61. Prime factorization of 9699 in exponential form is:

9699 = 31 × 531 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 9693 and 9699.

LCM(9693,9699) = 33 × 3591 × 531 × 611
LCM(9693,9699) = 31337469