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What is the Least Common Multiple of 16326 and 16330?

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 16326 and 16330 is 133301790.

LCM(16326,16330) = 133301790

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Least Common Multiple of 16326 and 16330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16326 and 16330, than apply into the LCM equation.

GCF(16326,16330) = 2
LCM(16326,16330) = ( 16326 × 16330) / 2
LCM(16326,16330) = 266603580 / 2
LCM(16326,16330) = 133301790

Least Common Multiple (LCM) of 16326 and 16330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16326 and 16330. First we will calculate the prime factors of 16326 and 16330.

Prime Factorization of 16326

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

16326 = 21 × 32 × 9071

Prime Factorization of 16330

Prime factors of 16330 are 2, 5, 23, 71. Prime factorization of 16330 in exponential form is:

16330 = 21 × 51 × 231 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 16326 and 16330.

LCM(16326,16330) = 21 × 32 × 9071 × 51 × 231 × 711
LCM(16326,16330) = 133301790