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What is the Least Common Multiple of 17256 and 17267?

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 17256 and 17267 is 297959352.

LCM(17256,17267) = 297959352

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Least Common Multiple of 17256 and 17267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17256 and 17267, than apply into the LCM equation.

GCF(17256,17267) = 1
LCM(17256,17267) = ( 17256 × 17267) / 1
LCM(17256,17267) = 297959352 / 1
LCM(17256,17267) = 297959352

Least Common Multiple (LCM) of 17256 and 17267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17256 and 17267. First we will calculate the prime factors of 17256 and 17267.

Prime Factorization of 17256

Prime factors of 17256 are 2, 3, 719. Prime factorization of 17256 in exponential form is:

17256 = 23 × 31 × 7191

Prime Factorization of 17267

Prime factors of 17267 are 31, 557. Prime factorization of 17267 in exponential form is:

17267 = 311 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 17256 and 17267.

LCM(17256,17267) = 23 × 31 × 7191 × 311 × 5571
LCM(17256,17267) = 297959352