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What is the Least Common Multiple of 17043 and 17063?

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 17043 and 17063 is 290804709.

LCM(17043,17063) = 290804709

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Least Common Multiple of 17043 and 17063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17043 and 17063, than apply into the LCM equation.

GCF(17043,17063) = 1
LCM(17043,17063) = ( 17043 × 17063) / 1
LCM(17043,17063) = 290804709 / 1
LCM(17043,17063) = 290804709

Least Common Multiple (LCM) of 17043 and 17063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17043 and 17063. First we will calculate the prime factors of 17043 and 17063.

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

Prime Factorization of 17063

Prime factors of 17063 are 113, 151. Prime factorization of 17063 in exponential form is:

17063 = 1131 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 17043 and 17063.

LCM(17043,17063) = 31 × 131 × 191 × 231 × 1131 × 1511
LCM(17043,17063) = 290804709