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What is the Least Common Multiple of 27866 and 27886?

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 27866 and 27886 is 388535638.

LCM(27866,27886) = 388535638

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Least Common Multiple of 27866 and 27886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27866 and 27886, than apply into the LCM equation.

GCF(27866,27886) = 2
LCM(27866,27886) = ( 27866 × 27886) / 2
LCM(27866,27886) = 777071276 / 2
LCM(27866,27886) = 388535638

Least Common Multiple (LCM) of 27866 and 27886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27866 and 27886. First we will calculate the prime factors of 27866 and 27886.

Prime Factorization of 27866

Prime factors of 27866 are 2, 13933. Prime factorization of 27866 in exponential form is:

27866 = 21 × 139331

Prime Factorization of 27886

Prime factors of 27886 are 2, 73, 191. Prime factorization of 27886 in exponential form is:

27886 = 21 × 731 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 27866 and 27886.

LCM(27866,27886) = 21 × 139331 × 731 × 1911
LCM(27866,27886) = 388535638