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What is the Least Common Multiple of 27279 and 27283?

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 27279 and 27283 is 744252957.

LCM(27279,27283) = 744252957

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Least Common Multiple of 27279 and 27283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27279 and 27283, than apply into the LCM equation.

GCF(27279,27283) = 1
LCM(27279,27283) = ( 27279 × 27283) / 1
LCM(27279,27283) = 744252957 / 1
LCM(27279,27283) = 744252957

Least Common Multiple (LCM) of 27279 and 27283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27279 and 27283. First we will calculate the prime factors of 27279 and 27283.

Prime Factorization of 27279

Prime factors of 27279 are 3, 7, 433. Prime factorization of 27279 in exponential form is:

27279 = 32 × 71 × 4331

Prime Factorization of 27283

Prime factors of 27283 are 27283. Prime factorization of 27283 in exponential form is:

27283 = 272831

Now multiplying the highest exponent prime factors to calculate the LCM of 27279 and 27283.

LCM(27279,27283) = 32 × 71 × 4331 × 272831
LCM(27279,27283) = 744252957