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What is the Least Common Multiple of 27759 and 27777?

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 27777 is 257020581.

LCM(27759,27777) = 257020581

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Least Common Multiple of 27759 and 27777 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 27777, than apply into the LCM equation.

GCF(27759,27777) = 3
LCM(27759,27777) = ( 27759 × 27777) / 3
LCM(27759,27777) = 771061743 / 3
LCM(27759,27777) = 257020581

Least Common Multiple (LCM) of 27759 and 27777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27759 and 27777. First we will calculate the prime factors of 27759 and 27777.

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 27777

Prime factors of 27777 are 3, 47, 197. Prime factorization of 27777 in exponential form is:

27777 = 31 × 471 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 27759 and 27777.

LCM(27759,27777) = 31 × 191 × 4871 × 471 × 1971
LCM(27759,27777) = 257020581