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What is the Least Common Multiple of 16171 and 16182?

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 16171 and 16182 is 261679122.

LCM(16171,16182) = 261679122

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Least Common Multiple of 16171 and 16182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16171 and 16182, than apply into the LCM equation.

GCF(16171,16182) = 1
LCM(16171,16182) = ( 16171 × 16182) / 1
LCM(16171,16182) = 261679122 / 1
LCM(16171,16182) = 261679122

Least Common Multiple (LCM) of 16171 and 16182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16171 and 16182. First we will calculate the prime factors of 16171 and 16182.

Prime Factorization of 16171

Prime factors of 16171 are 103, 157. Prime factorization of 16171 in exponential form is:

16171 = 1031 × 1571

Prime Factorization of 16182

Prime factors of 16182 are 2, 3, 29, 31. Prime factorization of 16182 in exponential form is:

16182 = 21 × 32 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 16171 and 16182.

LCM(16171,16182) = 1031 × 1571 × 21 × 32 × 291 × 311
LCM(16171,16182) = 261679122