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What is the Least Common Multiple of 17075 and 17090?

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 17075 and 17090 is 58362350.

LCM(17075,17090) = 58362350

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Least Common Multiple of 17075 and 17090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17075 and 17090, than apply into the LCM equation.

GCF(17075,17090) = 5
LCM(17075,17090) = ( 17075 × 17090) / 5
LCM(17075,17090) = 291811750 / 5
LCM(17075,17090) = 58362350

Least Common Multiple (LCM) of 17075 and 17090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17075 and 17090. First we will calculate the prime factors of 17075 and 17090.

Prime Factorization of 17075

Prime factors of 17075 are 5, 683. Prime factorization of 17075 in exponential form is:

17075 = 52 × 6831

Prime Factorization of 17090

Prime factors of 17090 are 2, 5, 1709. Prime factorization of 17090 in exponential form is:

17090 = 21 × 51 × 17091

Now multiplying the highest exponent prime factors to calculate the LCM of 17075 and 17090.

LCM(17075,17090) = 52 × 6831 × 21 × 17091
LCM(17075,17090) = 58362350