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What is the Least Common Multiple of 27561 and 27566?

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 27561 and 27566 is 759746526.

LCM(27561,27566) = 759746526

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Least Common Multiple of 27561 and 27566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27561 and 27566, than apply into the LCM equation.

GCF(27561,27566) = 1
LCM(27561,27566) = ( 27561 × 27566) / 1
LCM(27561,27566) = 759746526 / 1
LCM(27561,27566) = 759746526

Least Common Multiple (LCM) of 27561 and 27566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27561 and 27566. First we will calculate the prime factors of 27561 and 27566.

Prime Factorization of 27561

Prime factors of 27561 are 3, 9187. Prime factorization of 27561 in exponential form is:

27561 = 31 × 91871

Prime Factorization of 27566

Prime factors of 27566 are 2, 7, 11, 179. Prime factorization of 27566 in exponential form is:

27566 = 21 × 71 × 111 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 27561 and 27566.

LCM(27561,27566) = 31 × 91871 × 21 × 71 × 111 × 1791
LCM(27561,27566) = 759746526