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What is the Least Common Multiple of 14043 and 14054?

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 14043 and 14054 is 197360322.

LCM(14043,14054) = 197360322

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Least Common Multiple of 14043 and 14054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14043 and 14054, than apply into the LCM equation.

GCF(14043,14054) = 1
LCM(14043,14054) = ( 14043 × 14054) / 1
LCM(14043,14054) = 197360322 / 1
LCM(14043,14054) = 197360322

Least Common Multiple (LCM) of 14043 and 14054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14043 and 14054. First we will calculate the prime factors of 14043 and 14054.

Prime Factorization of 14043

Prime factors of 14043 are 3, 31, 151. Prime factorization of 14043 in exponential form is:

14043 = 31 × 311 × 1511

Prime Factorization of 14054

Prime factors of 14054 are 2, 7027. Prime factorization of 14054 in exponential form is:

14054 = 21 × 70271

Now multiplying the highest exponent prime factors to calculate the LCM of 14043 and 14054.

LCM(14043,14054) = 31 × 311 × 1511 × 21 × 70271
LCM(14043,14054) = 197360322