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What is the Least Common Multiple of 16386 and 16405?

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 16386 and 16405 is 268812330.

LCM(16386,16405) = 268812330

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Least Common Multiple of 16386 and 16405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16386 and 16405, than apply into the LCM equation.

GCF(16386,16405) = 1
LCM(16386,16405) = ( 16386 × 16405) / 1
LCM(16386,16405) = 268812330 / 1
LCM(16386,16405) = 268812330

Least Common Multiple (LCM) of 16386 and 16405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16386 and 16405. First we will calculate the prime factors of 16386 and 16405.

Prime Factorization of 16386

Prime factors of 16386 are 2, 3, 2731. Prime factorization of 16386 in exponential form is:

16386 = 21 × 31 × 27311

Prime Factorization of 16405

Prime factors of 16405 are 5, 17, 193. Prime factorization of 16405 in exponential form is:

16405 = 51 × 171 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 16386 and 16405.

LCM(16386,16405) = 21 × 31 × 27311 × 51 × 171 × 1931
LCM(16386,16405) = 268812330