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What is the Least Common Multiple of 17017 and 17022?

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 17017 and 17022 is 289663374.

LCM(17017,17022) = 289663374

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Least Common Multiple of 17017 and 17022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17017 and 17022, than apply into the LCM equation.

GCF(17017,17022) = 1
LCM(17017,17022) = ( 17017 × 17022) / 1
LCM(17017,17022) = 289663374 / 1
LCM(17017,17022) = 289663374

Least Common Multiple (LCM) of 17017 and 17022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17017 and 17022. First we will calculate the prime factors of 17017 and 17022.

Prime Factorization of 17017

Prime factors of 17017 are 7, 11, 13, 17. Prime factorization of 17017 in exponential form is:

17017 = 71 × 111 × 131 × 171

Prime Factorization of 17022

Prime factors of 17022 are 2, 3, 2837. Prime factorization of 17022 in exponential form is:

17022 = 21 × 31 × 28371

Now multiplying the highest exponent prime factors to calculate the LCM of 17017 and 17022.

LCM(17017,17022) = 71 × 111 × 131 × 171 × 21 × 31 × 28371
LCM(17017,17022) = 289663374