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What is the Least Common Multiple of 17458 and 17476?

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 17458 and 17476 is 152548004.

LCM(17458,17476) = 152548004

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Least Common Multiple of 17458 and 17476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17458 and 17476, than apply into the LCM equation.

GCF(17458,17476) = 2
LCM(17458,17476) = ( 17458 × 17476) / 2
LCM(17458,17476) = 305096008 / 2
LCM(17458,17476) = 152548004

Least Common Multiple (LCM) of 17458 and 17476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17458 and 17476. First we will calculate the prime factors of 17458 and 17476.

Prime Factorization of 17458

Prime factors of 17458 are 2, 7, 29, 43. Prime factorization of 17458 in exponential form is:

17458 = 21 × 71 × 291 × 431

Prime Factorization of 17476

Prime factors of 17476 are 2, 17, 257. Prime factorization of 17476 in exponential form is:

17476 = 22 × 171 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 17458 and 17476.

LCM(17458,17476) = 22 × 71 × 291 × 431 × 171 × 2571
LCM(17458,17476) = 152548004