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What is the Least Common Multiple of 17035 and 17043?

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 17035 and 17043 is 290327505.

LCM(17035,17043) = 290327505

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Least Common Multiple of 17035 and 17043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17035 and 17043, than apply into the LCM equation.

GCF(17035,17043) = 1
LCM(17035,17043) = ( 17035 × 17043) / 1
LCM(17035,17043) = 290327505 / 1
LCM(17035,17043) = 290327505

Least Common Multiple (LCM) of 17035 and 17043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17035 and 17043. First we will calculate the prime factors of 17035 and 17043.

Prime Factorization of 17035

Prime factors of 17035 are 5, 3407. Prime factorization of 17035 in exponential form is:

17035 = 51 × 34071

Prime Factorization of 17043

Prime factors of 17043 are 3, 13, 19, 23. Prime factorization of 17043 in exponential form is:

17043 = 31 × 131 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 17035 and 17043.

LCM(17035,17043) = 51 × 34071 × 31 × 131 × 191 × 231
LCM(17035,17043) = 290327505