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What is the Least Common Multiple of 17018 and 17026?

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 17018 and 17026 is 144874234.

LCM(17018,17026) = 144874234

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Least Common Multiple of 17018 and 17026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17018 and 17026, than apply into the LCM equation.

GCF(17018,17026) = 2
LCM(17018,17026) = ( 17018 × 17026) / 2
LCM(17018,17026) = 289748468 / 2
LCM(17018,17026) = 144874234

Least Common Multiple (LCM) of 17018 and 17026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17018 and 17026. First we will calculate the prime factors of 17018 and 17026.

Prime Factorization of 17018

Prime factors of 17018 are 2, 67, 127. Prime factorization of 17018 in exponential form is:

17018 = 21 × 671 × 1271

Prime Factorization of 17026

Prime factors of 17026 are 2, 8513. Prime factorization of 17026 in exponential form is:

17026 = 21 × 85131

Now multiplying the highest exponent prime factors to calculate the LCM of 17018 and 17026.

LCM(17018,17026) = 21 × 671 × 1271 × 85131
LCM(17018,17026) = 144874234