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What is the Least Common Multiple of 17042 and 17059?

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 17042 and 17059 is 290719478.

LCM(17042,17059) = 290719478

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Least Common Multiple of 17042 and 17059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17042 and 17059, than apply into the LCM equation.

GCF(17042,17059) = 1
LCM(17042,17059) = ( 17042 × 17059) / 1
LCM(17042,17059) = 290719478 / 1
LCM(17042,17059) = 290719478

Least Common Multiple (LCM) of 17042 and 17059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17042 and 17059. First we will calculate the prime factors of 17042 and 17059.

Prime Factorization of 17042

Prime factors of 17042 are 2, 8521. Prime factorization of 17042 in exponential form is:

17042 = 21 × 85211

Prime Factorization of 17059

Prime factors of 17059 are 7, 2437. Prime factorization of 17059 in exponential form is:

17059 = 71 × 24371

Now multiplying the highest exponent prime factors to calculate the LCM of 17042 and 17059.

LCM(17042,17059) = 21 × 85211 × 71 × 24371
LCM(17042,17059) = 290719478