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What is the Least Common Multiple of 17459 and 17478?

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 17459 and 17478 is 305148402.

LCM(17459,17478) = 305148402

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Least Common Multiple of 17459 and 17478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17459 and 17478, than apply into the LCM equation.

GCF(17459,17478) = 1
LCM(17459,17478) = ( 17459 × 17478) / 1
LCM(17459,17478) = 305148402 / 1
LCM(17459,17478) = 305148402

Least Common Multiple (LCM) of 17459 and 17478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17459 and 17478. First we will calculate the prime factors of 17459 and 17478.

Prime Factorization of 17459

Prime factors of 17459 are 13, 17, 79. Prime factorization of 17459 in exponential form is:

17459 = 131 × 171 × 791

Prime Factorization of 17478

Prime factors of 17478 are 2, 3, 971. Prime factorization of 17478 in exponential form is:

17478 = 21 × 32 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 17459 and 17478.

LCM(17459,17478) = 131 × 171 × 791 × 21 × 32 × 9711
LCM(17459,17478) = 305148402