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What is the Least Common Multiple of 27731 and 27743?

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 27731 and 27743 is 769341133.

LCM(27731,27743) = 769341133

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Least Common Multiple of 27731 and 27743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27731 and 27743, than apply into the LCM equation.

GCF(27731,27743) = 1
LCM(27731,27743) = ( 27731 × 27743) / 1
LCM(27731,27743) = 769341133 / 1
LCM(27731,27743) = 769341133

Least Common Multiple (LCM) of 27731 and 27743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27731 and 27743. First we will calculate the prime factors of 27731 and 27743.

Prime Factorization of 27731

Prime factors of 27731 are 11, 2521. Prime factorization of 27731 in exponential form is:

27731 = 111 × 25211

Prime Factorization of 27743

Prime factors of 27743 are 27743. Prime factorization of 27743 in exponential form is:

27743 = 277431

Now multiplying the highest exponent prime factors to calculate the LCM of 27731 and 27743.

LCM(27731,27743) = 111 × 25211 × 277431
LCM(27731,27743) = 769341133