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What is the Least Common Multiple of 17054 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 17054 and 17065 is 291026510.

LCM(17054,17065) = 291026510

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Least Common Multiple of 17054 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 17054 and 17065, than apply into the LCM equation.

GCF(17054,17065) = 1
LCM(17054,17065) = ( 17054 × 17065) / 1
LCM(17054,17065) = 291026510 / 1
LCM(17054,17065) = 291026510

Least Common Multiple (LCM) of 17054 and 17065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17054 and 17065. First we will calculate the prime factors of 17054 and 17065.

Prime Factorization of 17054

Prime factors of 17054 are 2, 8527. Prime factorization of 17054 in exponential form is:

17054 = 21 × 85271

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 17054 and 17065.

LCM(17054,17065) = 21 × 85271 × 51 × 34131
LCM(17054,17065) = 291026510