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What is the Least Common Multiple of 17071 and 17086?

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 17071 and 17086 is 291675106.

LCM(17071,17086) = 291675106

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Least Common Multiple of 17071 and 17086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17071 and 17086, than apply into the LCM equation.

GCF(17071,17086) = 1
LCM(17071,17086) = ( 17071 × 17086) / 1
LCM(17071,17086) = 291675106 / 1
LCM(17071,17086) = 291675106

Least Common Multiple (LCM) of 17071 and 17086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17071 and 17086. First we will calculate the prime factors of 17071 and 17086.

Prime Factorization of 17071

Prime factors of 17071 are 43, 397. Prime factorization of 17071 in exponential form is:

17071 = 431 × 3971

Prime Factorization of 17086

Prime factors of 17086 are 2, 8543. Prime factorization of 17086 in exponential form is:

17086 = 21 × 85431

Now multiplying the highest exponent prime factors to calculate the LCM of 17071 and 17086.

LCM(17071,17086) = 431 × 3971 × 21 × 85431
LCM(17071,17086) = 291675106