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What is the Least Common Multiple of 17081 and 17101?

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 17081 and 17101 is 292102181.

LCM(17081,17101) = 292102181

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Least Common Multiple of 17081 and 17101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17081 and 17101, than apply into the LCM equation.

GCF(17081,17101) = 1
LCM(17081,17101) = ( 17081 × 17101) / 1
LCM(17081,17101) = 292102181 / 1
LCM(17081,17101) = 292102181

Least Common Multiple (LCM) of 17081 and 17101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17081 and 17101. First we will calculate the prime factors of 17081 and 17101.

Prime Factorization of 17081

Prime factors of 17081 are 19, 29, 31. Prime factorization of 17081 in exponential form is:

17081 = 191 × 291 × 311

Prime Factorization of 17101

Prime factors of 17101 are 7, 349. Prime factorization of 17101 in exponential form is:

17101 = 72 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 17081 and 17101.

LCM(17081,17101) = 191 × 291 × 311 × 72 × 3491
LCM(17081,17101) = 292102181