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What is the Least Common Multiple of 99317 and 99326?

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 99317 and 99326 is 9864760342.

LCM(99317,99326) = 9864760342

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Least Common Multiple of 99317 and 99326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99317 and 99326, than apply into the LCM equation.

GCF(99317,99326) = 1
LCM(99317,99326) = ( 99317 × 99326) / 1
LCM(99317,99326) = 9864760342 / 1
LCM(99317,99326) = 9864760342

Least Common Multiple (LCM) of 99317 and 99326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99317 and 99326. First we will calculate the prime factors of 99317 and 99326.

Prime Factorization of 99317

Prime factors of 99317 are 99317. Prime factorization of 99317 in exponential form is:

99317 = 993171

Prime Factorization of 99326

Prime factors of 99326 are 2, 49663. Prime factorization of 99326 in exponential form is:

99326 = 21 × 496631

Now multiplying the highest exponent prime factors to calculate the LCM of 99317 and 99326.

LCM(99317,99326) = 993171 × 21 × 496631
LCM(99317,99326) = 9864760342