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What is the Least Common Multiple of 17055 and 17065?

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 17055 and 17065 is 58208715.

LCM(17055,17065) = 58208715

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Least Common Multiple of 17055 and 17065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17055 and 17065, than apply into the LCM equation.

GCF(17055,17065) = 5
LCM(17055,17065) = ( 17055 × 17065) / 5
LCM(17055,17065) = 291043575 / 5
LCM(17055,17065) = 58208715

Least Common Multiple (LCM) of 17055 and 17065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17055 and 17065. First we will calculate the prime factors of 17055 and 17065.

Prime Factorization of 17055

Prime factors of 17055 are 3, 5, 379. Prime factorization of 17055 in exponential form is:

17055 = 32 × 51 × 3791

Prime Factorization of 17065

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

17065 = 51 × 34131

Now multiplying the highest exponent prime factors to calculate the LCM of 17055 and 17065.

LCM(17055,17065) = 32 × 51 × 3791 × 34131
LCM(17055,17065) = 58208715