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What is the Least Common Multiple of 16318 and 16326?

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 16318 and 16326 is 133203834.

LCM(16318,16326) = 133203834

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Least Common Multiple of 16318 and 16326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16318 and 16326, than apply into the LCM equation.

GCF(16318,16326) = 2
LCM(16318,16326) = ( 16318 × 16326) / 2
LCM(16318,16326) = 266407668 / 2
LCM(16318,16326) = 133203834

Least Common Multiple (LCM) of 16318 and 16326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16318 and 16326. First we will calculate the prime factors of 16318 and 16326.

Prime Factorization of 16318

Prime factors of 16318 are 2, 41, 199. Prime factorization of 16318 in exponential form is:

16318 = 21 × 411 × 1991

Prime Factorization of 16326

Prime factors of 16326 are 2, 3, 907. Prime factorization of 16326 in exponential form is:

16326 = 21 × 32 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 16318 and 16326.

LCM(16318,16326) = 21 × 411 × 1991 × 32 × 9071
LCM(16318,16326) = 133203834