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What is the Least Common Multiple of 27243 and 27255?

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 27243 and 27255 is 247502655.

LCM(27243,27255) = 247502655

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Least Common Multiple of 27243 and 27255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27243 and 27255, than apply into the LCM equation.

GCF(27243,27255) = 3
LCM(27243,27255) = ( 27243 × 27255) / 3
LCM(27243,27255) = 742507965 / 3
LCM(27243,27255) = 247502655

Least Common Multiple (LCM) of 27243 and 27255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27243 and 27255. First we will calculate the prime factors of 27243 and 27255.

Prime Factorization of 27243

Prime factors of 27243 are 3, 1009. Prime factorization of 27243 in exponential form is:

27243 = 33 × 10091

Prime Factorization of 27255

Prime factors of 27255 are 3, 5, 23, 79. Prime factorization of 27255 in exponential form is:

27255 = 31 × 51 × 231 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 27243 and 27255.

LCM(27243,27255) = 33 × 10091 × 51 × 231 × 791
LCM(27243,27255) = 247502655