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What is the Least Common Multiple of 17465 and 17474?

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 17465 and 17474 is 305183410.

LCM(17465,17474) = 305183410

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Least Common Multiple of 17465 and 17474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17465 and 17474, than apply into the LCM equation.

GCF(17465,17474) = 1
LCM(17465,17474) = ( 17465 × 17474) / 1
LCM(17465,17474) = 305183410 / 1
LCM(17465,17474) = 305183410

Least Common Multiple (LCM) of 17465 and 17474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17465 and 17474. First we will calculate the prime factors of 17465 and 17474.

Prime Factorization of 17465

Prime factors of 17465 are 5, 7, 499. Prime factorization of 17465 in exponential form is:

17465 = 51 × 71 × 4991

Prime Factorization of 17474

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

17474 = 21 × 87371

Now multiplying the highest exponent prime factors to calculate the LCM of 17465 and 17474.

LCM(17465,17474) = 51 × 71 × 4991 × 21 × 87371
LCM(17465,17474) = 305183410