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What is the Least Common Multiple of 27255 and 27275?

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 27255 and 27275 is 148676025.

LCM(27255,27275) = 148676025

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Least Common Multiple of 27255 and 27275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27255 and 27275, than apply into the LCM equation.

GCF(27255,27275) = 5
LCM(27255,27275) = ( 27255 × 27275) / 5
LCM(27255,27275) = 743380125 / 5
LCM(27255,27275) = 148676025

Least Common Multiple (LCM) of 27255 and 27275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27255 and 27275. First we will calculate the prime factors of 27255 and 27275.

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

Prime Factorization of 27275

Prime factors of 27275 are 5, 1091. Prime factorization of 27275 in exponential form is:

27275 = 52 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 27255 and 27275.

LCM(27255,27275) = 31 × 52 × 231 × 791 × 10911
LCM(27255,27275) = 148676025