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What is the Least Common Multiple of 17043 and 17057?

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 17057 is 290702451.

LCM(17043,17057) = 290702451

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Least Common Multiple of 17043 and 17057 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 17057, than apply into the LCM equation.

GCF(17043,17057) = 1
LCM(17043,17057) = ( 17043 × 17057) / 1
LCM(17043,17057) = 290702451 / 1
LCM(17043,17057) = 290702451

Least Common Multiple (LCM) of 17043 and 17057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17043 and 17057. First we will calculate the prime factors of 17043 and 17057.

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 17057

Prime factors of 17057 are 37, 461. Prime factorization of 17057 in exponential form is:

17057 = 371 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 17043 and 17057.

LCM(17043,17057) = 31 × 131 × 191 × 231 × 371 × 4611
LCM(17043,17057) = 290702451