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What is the Least Common Multiple of 17041 and 17055?

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 17041 and 17055 is 290634255.

LCM(17041,17055) = 290634255

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Least Common Multiple of 17041 and 17055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17041 and 17055, than apply into the LCM equation.

GCF(17041,17055) = 1
LCM(17041,17055) = ( 17041 × 17055) / 1
LCM(17041,17055) = 290634255 / 1
LCM(17041,17055) = 290634255

Least Common Multiple (LCM) of 17041 and 17055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17041 and 17055. First we will calculate the prime factors of 17041 and 17055.

Prime Factorization of 17041

Prime factors of 17041 are 17041. Prime factorization of 17041 in exponential form is:

17041 = 170411

Prime Factorization of 17055

Prime factors of 17055 are 3, 5, 379. Prime factorization of 17055 in exponential form is:

17055 = 32 × 51 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 17041 and 17055.

LCM(17041,17055) = 170411 × 32 × 51 × 3791
LCM(17041,17055) = 290634255