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What is the Least Common Multiple of 27727 and 27738?

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 27727 and 27738 is 769091526.

LCM(27727,27738) = 769091526

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Least Common Multiple of 27727 and 27738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27727 and 27738, than apply into the LCM equation.

GCF(27727,27738) = 1
LCM(27727,27738) = ( 27727 × 27738) / 1
LCM(27727,27738) = 769091526 / 1
LCM(27727,27738) = 769091526

Least Common Multiple (LCM) of 27727 and 27738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27727 and 27738. First we will calculate the prime factors of 27727 and 27738.

Prime Factorization of 27727

Prime factors of 27727 are 7, 17, 233. Prime factorization of 27727 in exponential form is:

27727 = 71 × 171 × 2331

Prime Factorization of 27738

Prime factors of 27738 are 2, 3, 23, 67. Prime factorization of 27738 in exponential form is:

27738 = 21 × 32 × 231 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 27727 and 27738.

LCM(27727,27738) = 71 × 171 × 2331 × 21 × 32 × 231 × 671
LCM(27727,27738) = 769091526