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What is the Least Common Multiple of 27745 and 27764?

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 27745 and 27764 is 770312180.

LCM(27745,27764) = 770312180

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Least Common Multiple of 27745 and 27764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27745 and 27764, than apply into the LCM equation.

GCF(27745,27764) = 1
LCM(27745,27764) = ( 27745 × 27764) / 1
LCM(27745,27764) = 770312180 / 1
LCM(27745,27764) = 770312180

Least Common Multiple (LCM) of 27745 and 27764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27745 and 27764. First we will calculate the prime factors of 27745 and 27764.

Prime Factorization of 27745

Prime factors of 27745 are 5, 31, 179. Prime factorization of 27745 in exponential form is:

27745 = 51 × 311 × 1791

Prime Factorization of 27764

Prime factors of 27764 are 2, 11, 631. Prime factorization of 27764 in exponential form is:

27764 = 22 × 111 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 27745 and 27764.

LCM(27745,27764) = 51 × 311 × 1791 × 22 × 111 × 6311
LCM(27745,27764) = 770312180