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What is the Least Common Multiple of 14177 and 14187?

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 14177 and 14187 is 201129099.

LCM(14177,14187) = 201129099

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Least Common Multiple of 14177 and 14187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14177 and 14187, than apply into the LCM equation.

GCF(14177,14187) = 1
LCM(14177,14187) = ( 14177 × 14187) / 1
LCM(14177,14187) = 201129099 / 1
LCM(14177,14187) = 201129099

Least Common Multiple (LCM) of 14177 and 14187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14177 and 14187. First we will calculate the prime factors of 14177 and 14187.

Prime Factorization of 14177

Prime factors of 14177 are 14177. Prime factorization of 14177 in exponential form is:

14177 = 141771

Prime Factorization of 14187

Prime factors of 14187 are 3, 4729. Prime factorization of 14187 in exponential form is:

14187 = 31 × 47291

Now multiplying the highest exponent prime factors to calculate the LCM of 14177 and 14187.

LCM(14177,14187) = 141771 × 31 × 47291
LCM(14177,14187) = 201129099