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What is the Least Common Multiple of 17151 and 17166?

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 17151 and 17166 is 98138022.

LCM(17151,17166) = 98138022

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Least Common Multiple of 17151 and 17166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17151 and 17166, than apply into the LCM equation.

GCF(17151,17166) = 3
LCM(17151,17166) = ( 17151 × 17166) / 3
LCM(17151,17166) = 294414066 / 3
LCM(17151,17166) = 98138022

Least Common Multiple (LCM) of 17151 and 17166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17151 and 17166. First we will calculate the prime factors of 17151 and 17166.

Prime Factorization of 17151

Prime factors of 17151 are 3, 5717. Prime factorization of 17151 in exponential form is:

17151 = 31 × 57171

Prime Factorization of 17166

Prime factors of 17166 are 2, 3, 2861. Prime factorization of 17166 in exponential form is:

17166 = 21 × 31 × 28611

Now multiplying the highest exponent prime factors to calculate the LCM of 17151 and 17166.

LCM(17151,17166) = 31 × 57171 × 21 × 28611
LCM(17151,17166) = 98138022