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What is the Least Common Multiple of 17431 and 17441?

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 17431 and 17441 is 304014071.

LCM(17431,17441) = 304014071

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Least Common Multiple of 17431 and 17441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17431 and 17441, than apply into the LCM equation.

GCF(17431,17441) = 1
LCM(17431,17441) = ( 17431 × 17441) / 1
LCM(17431,17441) = 304014071 / 1
LCM(17431,17441) = 304014071

Least Common Multiple (LCM) of 17431 and 17441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17431 and 17441. First we will calculate the prime factors of 17431 and 17441.

Prime Factorization of 17431

Prime factors of 17431 are 17431. Prime factorization of 17431 in exponential form is:

17431 = 174311

Prime Factorization of 17441

Prime factors of 17441 are 107, 163. Prime factorization of 17441 in exponential form is:

17441 = 1071 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 17431 and 17441.

LCM(17431,17441) = 174311 × 1071 × 1631
LCM(17431,17441) = 304014071