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What is the Least Common Multiple of 27759 and 27771?

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 27759 and 27771 is 256965063.

LCM(27759,27771) = 256965063

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Least Common Multiple of 27759 and 27771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27759 and 27771, than apply into the LCM equation.

GCF(27759,27771) = 3
LCM(27759,27771) = ( 27759 × 27771) / 3
LCM(27759,27771) = 770895189 / 3
LCM(27759,27771) = 256965063

Least Common Multiple (LCM) of 27759 and 27771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27759 and 27771. First we will calculate the prime factors of 27759 and 27771.

Prime Factorization of 27759

Prime factors of 27759 are 3, 19, 487. Prime factorization of 27759 in exponential form is:

27759 = 31 × 191 × 4871

Prime Factorization of 27771

Prime factors of 27771 are 3, 9257. Prime factorization of 27771 in exponential form is:

27771 = 31 × 92571

Now multiplying the highest exponent prime factors to calculate the LCM of 27759 and 27771.

LCM(27759,27771) = 31 × 191 × 4871 × 92571
LCM(27759,27771) = 256965063