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What is the Least Common Multiple of 14876 and 14881?

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 14876 and 14881 is 221369756.

LCM(14876,14881) = 221369756

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Least Common Multiple of 14876 and 14881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14876 and 14881, than apply into the LCM equation.

GCF(14876,14881) = 1
LCM(14876,14881) = ( 14876 × 14881) / 1
LCM(14876,14881) = 221369756 / 1
LCM(14876,14881) = 221369756

Least Common Multiple (LCM) of 14876 and 14881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14876 and 14881. First we will calculate the prime factors of 14876 and 14881.

Prime Factorization of 14876

Prime factors of 14876 are 2, 3719. Prime factorization of 14876 in exponential form is:

14876 = 22 × 37191

Prime Factorization of 14881

Prime factors of 14881 are 23, 647. Prime factorization of 14881 in exponential form is:

14881 = 231 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 14876 and 14881.

LCM(14876,14881) = 22 × 37191 × 231 × 6471
LCM(14876,14881) = 221369756