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What is the Least Common Multiple of 16166 and 16184?

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 16166 and 16184 is 130815272.

LCM(16166,16184) = 130815272

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Least Common Multiple of 16166 and 16184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16166 and 16184, than apply into the LCM equation.

GCF(16166,16184) = 2
LCM(16166,16184) = ( 16166 × 16184) / 2
LCM(16166,16184) = 261630544 / 2
LCM(16166,16184) = 130815272

Least Common Multiple (LCM) of 16166 and 16184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16166 and 16184. First we will calculate the prime factors of 16166 and 16184.

Prime Factorization of 16166

Prime factors of 16166 are 2, 59, 137. Prime factorization of 16166 in exponential form is:

16166 = 21 × 591 × 1371

Prime Factorization of 16184

Prime factors of 16184 are 2, 7, 17. Prime factorization of 16184 in exponential form is:

16184 = 23 × 71 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 16166 and 16184.

LCM(16166,16184) = 23 × 591 × 1371 × 71 × 172
LCM(16166,16184) = 130815272