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What is the Least Common Multiple of 17042 and 17056?

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 17056 is 145334176.

LCM(17042,17056) = 145334176

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Least Common Multiple of 17042 and 17056 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 17056, than apply into the LCM equation.

GCF(17042,17056) = 2
LCM(17042,17056) = ( 17042 × 17056) / 2
LCM(17042,17056) = 290668352 / 2
LCM(17042,17056) = 145334176

Least Common Multiple (LCM) of 17042 and 17056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17042 and 17056. First we will calculate the prime factors of 17042 and 17056.

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 17056

Prime factors of 17056 are 2, 13, 41. Prime factorization of 17056 in exponential form is:

17056 = 25 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 17042 and 17056.

LCM(17042,17056) = 25 × 85211 × 131 × 411
LCM(17042,17056) = 145334176