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What is the Least Common Multiple of 14088 and 14093?

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 14088 and 14093 is 198542184.

LCM(14088,14093) = 198542184

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Least Common Multiple of 14088 and 14093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14088 and 14093, than apply into the LCM equation.

GCF(14088,14093) = 1
LCM(14088,14093) = ( 14088 × 14093) / 1
LCM(14088,14093) = 198542184 / 1
LCM(14088,14093) = 198542184

Least Common Multiple (LCM) of 14088 and 14093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14088 and 14093. First we will calculate the prime factors of 14088 and 14093.

Prime Factorization of 14088

Prime factors of 14088 are 2, 3, 587. Prime factorization of 14088 in exponential form is:

14088 = 23 × 31 × 5871

Prime Factorization of 14093

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

14093 = 171 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 14088 and 14093.

LCM(14088,14093) = 23 × 31 × 5871 × 171 × 8291
LCM(14088,14093) = 198542184