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What is the Least Common Multiple of 14881 and 14886?

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 14881 and 14886 is 221518566.

LCM(14881,14886) = 221518566

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Least Common Multiple of 14881 and 14886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14881 and 14886, than apply into the LCM equation.

GCF(14881,14886) = 1
LCM(14881,14886) = ( 14881 × 14886) / 1
LCM(14881,14886) = 221518566 / 1
LCM(14881,14886) = 221518566

Least Common Multiple (LCM) of 14881 and 14886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14881 and 14886. First we will calculate the prime factors of 14881 and 14886.

Prime Factorization of 14881

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

14881 = 231 × 6471

Prime Factorization of 14886

Prime factors of 14886 are 2, 3, 827. Prime factorization of 14886 in exponential form is:

14886 = 21 × 32 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 14881 and 14886.

LCM(14881,14886) = 231 × 6471 × 21 × 32 × 8271
LCM(14881,14886) = 221518566