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What is the Least Common Multiple of 17458 and 17473?

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 17473 is 305043634.

LCM(17458,17473) = 305043634

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Least Common Multiple of 17458 and 17473 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 17473, than apply into the LCM equation.

GCF(17458,17473) = 1
LCM(17458,17473) = ( 17458 × 17473) / 1
LCM(17458,17473) = 305043634 / 1
LCM(17458,17473) = 305043634

Least Common Multiple (LCM) of 17458 and 17473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17458 and 17473. First we will calculate the prime factors of 17458 and 17473.

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 17473

Prime factors of 17473 are 101, 173. Prime factorization of 17473 in exponential form is:

17473 = 1011 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 17458 and 17473.

LCM(17458,17473) = 21 × 71 × 291 × 431 × 1011 × 1731
LCM(17458,17473) = 305043634