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What is the Least Common Multiple of 27731 and 27749?

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 27749 is 769507519.

LCM(27731,27749) = 769507519

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Least Common Multiple of 27731 and 27749 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 27749, than apply into the LCM equation.

GCF(27731,27749) = 1
LCM(27731,27749) = ( 27731 × 27749) / 1
LCM(27731,27749) = 769507519 / 1
LCM(27731,27749) = 769507519

Least Common Multiple (LCM) of 27731 and 27749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27731 and 27749. First we will calculate the prime factors of 27731 and 27749.

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 27749

Prime factors of 27749 are 27749. Prime factorization of 27749 in exponential form is:

27749 = 277491

Now multiplying the highest exponent prime factors to calculate the LCM of 27731 and 27749.

LCM(27731,27749) = 111 × 25211 × 277491
LCM(27731,27749) = 769507519