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What is the Least Common Multiple of 27239 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 27239 and 27255 is 742398945.

LCM(27239,27255) = 742398945

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Least Common Multiple of 27239 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 27239 and 27255, than apply into the LCM equation.

GCF(27239,27255) = 1
LCM(27239,27255) = ( 27239 × 27255) / 1
LCM(27239,27255) = 742398945 / 1
LCM(27239,27255) = 742398945

Least Common Multiple (LCM) of 27239 and 27255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27239 and 27255. First we will calculate the prime factors of 27239 and 27255.

Prime Factorization of 27239

Prime factors of 27239 are 27239. Prime factorization of 27239 in exponential form is:

27239 = 272391

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 27239 and 27255.

LCM(27239,27255) = 272391 × 31 × 51 × 231 × 791
LCM(27239,27255) = 742398945