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What is the Least Common Multiple of 17065 and 17082?

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 17065 and 17082 is 291504330.

LCM(17065,17082) = 291504330

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Least Common Multiple of 17065 and 17082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17065 and 17082, than apply into the LCM equation.

GCF(17065,17082) = 1
LCM(17065,17082) = ( 17065 × 17082) / 1
LCM(17065,17082) = 291504330 / 1
LCM(17065,17082) = 291504330

Least Common Multiple (LCM) of 17065 and 17082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17065 and 17082. First we will calculate the prime factors of 17065 and 17082.

Prime Factorization of 17065

Prime factors of 17065 are 5, 3413. Prime factorization of 17065 in exponential form is:

17065 = 51 × 34131

Prime Factorization of 17082

Prime factors of 17082 are 2, 3, 13, 73. Prime factorization of 17082 in exponential form is:

17082 = 21 × 32 × 131 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 17065 and 17082.

LCM(17065,17082) = 51 × 34131 × 21 × 32 × 131 × 731
LCM(17065,17082) = 291504330