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What is the Least Common Multiple of 27271 and 27288?

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 27271 and 27288 is 744171048.

LCM(27271,27288) = 744171048

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Least Common Multiple of 27271 and 27288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27271 and 27288, than apply into the LCM equation.

GCF(27271,27288) = 1
LCM(27271,27288) = ( 27271 × 27288) / 1
LCM(27271,27288) = 744171048 / 1
LCM(27271,27288) = 744171048

Least Common Multiple (LCM) of 27271 and 27288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27271 and 27288. First we will calculate the prime factors of 27271 and 27288.

Prime Factorization of 27271

Prime factors of 27271 are 27271. Prime factorization of 27271 in exponential form is:

27271 = 272711

Prime Factorization of 27288

Prime factors of 27288 are 2, 3, 379. Prime factorization of 27288 in exponential form is:

27288 = 23 × 32 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 27271 and 27288.

LCM(27271,27288) = 272711 × 23 × 32 × 3791
LCM(27271,27288) = 744171048