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What is the Least Common Multiple of 14159 and 14165?

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 14159 and 14165 is 200562235.

LCM(14159,14165) = 200562235

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Least Common Multiple of 14159 and 14165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14159 and 14165, than apply into the LCM equation.

GCF(14159,14165) = 1
LCM(14159,14165) = ( 14159 × 14165) / 1
LCM(14159,14165) = 200562235 / 1
LCM(14159,14165) = 200562235

Least Common Multiple (LCM) of 14159 and 14165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14159 and 14165. First we will calculate the prime factors of 14159 and 14165.

Prime Factorization of 14159

Prime factors of 14159 are 14159. Prime factorization of 14159 in exponential form is:

14159 = 141591

Prime Factorization of 14165

Prime factors of 14165 are 5, 2833. Prime factorization of 14165 in exponential form is:

14165 = 51 × 28331

Now multiplying the highest exponent prime factors to calculate the LCM of 14159 and 14165.

LCM(14159,14165) = 141591 × 51 × 28331
LCM(14159,14165) = 200562235