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What is the Least Common Multiple of 17033 and 17051?

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 17033 and 17051 is 290429683.

LCM(17033,17051) = 290429683

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Least Common Multiple of 17033 and 17051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17033 and 17051, than apply into the LCM equation.

GCF(17033,17051) = 1
LCM(17033,17051) = ( 17033 × 17051) / 1
LCM(17033,17051) = 290429683 / 1
LCM(17033,17051) = 290429683

Least Common Multiple (LCM) of 17033 and 17051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17033 and 17051. First we will calculate the prime factors of 17033 and 17051.

Prime Factorization of 17033

Prime factors of 17033 are 17033. Prime factorization of 17033 in exponential form is:

17033 = 170331

Prime Factorization of 17051

Prime factors of 17051 are 17, 59. Prime factorization of 17051 in exponential form is:

17051 = 172 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 17033 and 17051.

LCM(17033,17051) = 170331 × 172 × 591
LCM(17033,17051) = 290429683