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What is the Least Common Multiple of 16317 and 16323?

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 16317 and 16323 is 88780797.

LCM(16317,16323) = 88780797

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Least Common Multiple of 16317 and 16323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16317 and 16323, than apply into the LCM equation.

GCF(16317,16323) = 3
LCM(16317,16323) = ( 16317 × 16323) / 3
LCM(16317,16323) = 266342391 / 3
LCM(16317,16323) = 88780797

Least Common Multiple (LCM) of 16317 and 16323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16317 and 16323. First we will calculate the prime factors of 16317 and 16323.

Prime Factorization of 16317

Prime factors of 16317 are 3, 7, 37. Prime factorization of 16317 in exponential form is:

16317 = 32 × 72 × 371

Prime Factorization of 16323

Prime factors of 16323 are 3, 5441. Prime factorization of 16323 in exponential form is:

16323 = 31 × 54411

Now multiplying the highest exponent prime factors to calculate the LCM of 16317 and 16323.

LCM(16317,16323) = 32 × 72 × 371 × 54411
LCM(16317,16323) = 88780797