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What is the Least Common Multiple of 16321 and 16338?

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 16321 and 16338 is 266652498.

LCM(16321,16338) = 266652498

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Least Common Multiple of 16321 and 16338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16321 and 16338, than apply into the LCM equation.

GCF(16321,16338) = 1
LCM(16321,16338) = ( 16321 × 16338) / 1
LCM(16321,16338) = 266652498 / 1
LCM(16321,16338) = 266652498

Least Common Multiple (LCM) of 16321 and 16338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16321 and 16338. First we will calculate the prime factors of 16321 and 16338.

Prime Factorization of 16321

Prime factors of 16321 are 19, 859. Prime factorization of 16321 in exponential form is:

16321 = 191 × 8591

Prime Factorization of 16338

Prime factors of 16338 are 2, 3, 7, 389. Prime factorization of 16338 in exponential form is:

16338 = 21 × 31 × 71 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 16321 and 16338.

LCM(16321,16338) = 191 × 8591 × 21 × 31 × 71 × 3891
LCM(16321,16338) = 266652498