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What is the Least Common Multiple of 17474 and 17490?

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 17474 and 17490 is 152810130.

LCM(17474,17490) = 152810130

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Least Common Multiple of 17474 and 17490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17474 and 17490, than apply into the LCM equation.

GCF(17474,17490) = 2
LCM(17474,17490) = ( 17474 × 17490) / 2
LCM(17474,17490) = 305620260 / 2
LCM(17474,17490) = 152810130

Least Common Multiple (LCM) of 17474 and 17490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17474 and 17490. First we will calculate the prime factors of 17474 and 17490.

Prime Factorization of 17474

Prime factors of 17474 are 2, 8737. Prime factorization of 17474 in exponential form is:

17474 = 21 × 87371

Prime Factorization of 17490

Prime factors of 17490 are 2, 3, 5, 11, 53. Prime factorization of 17490 in exponential form is:

17490 = 21 × 31 × 51 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 17474 and 17490.

LCM(17474,17490) = 21 × 87371 × 31 × 51 × 111 × 531
LCM(17474,17490) = 152810130