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What is the Least Common Multiple of 16397 and 16417?

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 16397 and 16417 is 269189549.

LCM(16397,16417) = 269189549

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Least Common Multiple of 16397 and 16417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16397 and 16417, than apply into the LCM equation.

GCF(16397,16417) = 1
LCM(16397,16417) = ( 16397 × 16417) / 1
LCM(16397,16417) = 269189549 / 1
LCM(16397,16417) = 269189549

Least Common Multiple (LCM) of 16397 and 16417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16397 and 16417. First we will calculate the prime factors of 16397 and 16417.

Prime Factorization of 16397

Prime factors of 16397 are 19, 863. Prime factorization of 16397 in exponential form is:

16397 = 191 × 8631

Prime Factorization of 16417

Prime factors of 16417 are 16417. Prime factorization of 16417 in exponential form is:

16417 = 164171

Now multiplying the highest exponent prime factors to calculate the LCM of 16397 and 16417.

LCM(16397,16417) = 191 × 8631 × 164171
LCM(16397,16417) = 269189549