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What is the Least Common Multiple of 17471 and 17488?

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 17471 and 17488 is 305532848.

LCM(17471,17488) = 305532848

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Least Common Multiple of 17471 and 17488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17471 and 17488, than apply into the LCM equation.

GCF(17471,17488) = 1
LCM(17471,17488) = ( 17471 × 17488) / 1
LCM(17471,17488) = 305532848 / 1
LCM(17471,17488) = 305532848

Least Common Multiple (LCM) of 17471 and 17488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17471 and 17488. First we will calculate the prime factors of 17471 and 17488.

Prime Factorization of 17471

Prime factors of 17471 are 17471. Prime factorization of 17471 in exponential form is:

17471 = 174711

Prime Factorization of 17488

Prime factors of 17488 are 2, 1093. Prime factorization of 17488 in exponential form is:

17488 = 24 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 17471 and 17488.

LCM(17471,17488) = 174711 × 24 × 10931
LCM(17471,17488) = 305532848