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What is the Least Common Multiple of 16403 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 16403 and 16417 is 269288051.

LCM(16403,16417) = 269288051

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Least Common Multiple of 16403 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 16403 and 16417, than apply into the LCM equation.

GCF(16403,16417) = 1
LCM(16403,16417) = ( 16403 × 16417) / 1
LCM(16403,16417) = 269288051 / 1
LCM(16403,16417) = 269288051

Least Common Multiple (LCM) of 16403 and 16417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16403 and 16417. First we will calculate the prime factors of 16403 and 16417.

Prime Factorization of 16403

Prime factors of 16403 are 47, 349. Prime factorization of 16403 in exponential form is:

16403 = 471 × 3491

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 16403 and 16417.

LCM(16403,16417) = 471 × 3491 × 164171
LCM(16403,16417) = 269288051