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What is the Least Common Multiple of 16323 and 16332?

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 16323 and 16332 is 88862412.

LCM(16323,16332) = 88862412

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Least Common Multiple of 16323 and 16332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16323 and 16332, than apply into the LCM equation.

GCF(16323,16332) = 3
LCM(16323,16332) = ( 16323 × 16332) / 3
LCM(16323,16332) = 266587236 / 3
LCM(16323,16332) = 88862412

Least Common Multiple (LCM) of 16323 and 16332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16323 and 16332. First we will calculate the prime factors of 16323 and 16332.

Prime Factorization of 16323

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

16323 = 31 × 54411

Prime Factorization of 16332

Prime factors of 16332 are 2, 3, 1361. Prime factorization of 16332 in exponential form is:

16332 = 22 × 31 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 16323 and 16332.

LCM(16323,16332) = 31 × 54411 × 22 × 13611
LCM(16323,16332) = 88862412