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What is the Least Common Multiple of 14093 and 14102?

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 14093 and 14102 is 198739486.

LCM(14093,14102) = 198739486

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Least Common Multiple of 14093 and 14102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14093 and 14102, than apply into the LCM equation.

GCF(14093,14102) = 1
LCM(14093,14102) = ( 14093 × 14102) / 1
LCM(14093,14102) = 198739486 / 1
LCM(14093,14102) = 198739486

Least Common Multiple (LCM) of 14093 and 14102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14093 and 14102. First we will calculate the prime factors of 14093 and 14102.

Prime Factorization of 14093

Prime factors of 14093 are 17, 829. Prime factorization of 14093 in exponential form is:

14093 = 171 × 8291

Prime Factorization of 14102

Prime factors of 14102 are 2, 11, 641. Prime factorization of 14102 in exponential form is:

14102 = 21 × 111 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 14093 and 14102.

LCM(14093,14102) = 171 × 8291 × 21 × 111 × 6411
LCM(14093,14102) = 198739486