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What is the Least Common Multiple of 17102 and 17110?

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 17102 and 17110 is 146307610.

LCM(17102,17110) = 146307610

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Least Common Multiple of 17102 and 17110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17102 and 17110, than apply into the LCM equation.

GCF(17102,17110) = 2
LCM(17102,17110) = ( 17102 × 17110) / 2
LCM(17102,17110) = 292615220 / 2
LCM(17102,17110) = 146307610

Least Common Multiple (LCM) of 17102 and 17110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17102 and 17110. First we will calculate the prime factors of 17102 and 17110.

Prime Factorization of 17102

Prime factors of 17102 are 2, 17, 503. Prime factorization of 17102 in exponential form is:

17102 = 21 × 171 × 5031

Prime Factorization of 17110

Prime factors of 17110 are 2, 5, 29, 59. Prime factorization of 17110 in exponential form is:

17110 = 21 × 51 × 291 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 17102 and 17110.

LCM(17102,17110) = 21 × 171 × 5031 × 51 × 291 × 591
LCM(17102,17110) = 146307610