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What is the Least Common Multiple of 51866 and 51886?

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 51866 and 51886 is 1345559638.

LCM(51866,51886) = 1345559638

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Least Common Multiple of 51866 and 51886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51866 and 51886, than apply into the LCM equation.

GCF(51866,51886) = 2
LCM(51866,51886) = ( 51866 × 51886) / 2
LCM(51866,51886) = 2691119276 / 2
LCM(51866,51886) = 1345559638

Least Common Multiple (LCM) of 51866 and 51886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51866 and 51886. First we will calculate the prime factors of 51866 and 51886.

Prime Factorization of 51866

Prime factors of 51866 are 2, 25933. Prime factorization of 51866 in exponential form is:

51866 = 21 × 259331

Prime Factorization of 51886

Prime factors of 51886 are 2, 25943. Prime factorization of 51886 in exponential form is:

51886 = 21 × 259431

Now multiplying the highest exponent prime factors to calculate the LCM of 51866 and 51886.

LCM(51866,51886) = 21 × 259331 × 259431
LCM(51866,51886) = 1345559638