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What is the Least Common Multiple of 27115 and 27133?

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 27115 and 27133 is 735711295.

LCM(27115,27133) = 735711295

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Least Common Multiple of 27115 and 27133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27115 and 27133, than apply into the LCM equation.

GCF(27115,27133) = 1
LCM(27115,27133) = ( 27115 × 27133) / 1
LCM(27115,27133) = 735711295 / 1
LCM(27115,27133) = 735711295

Least Common Multiple (LCM) of 27115 and 27133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27115 and 27133. First we will calculate the prime factors of 27115 and 27133.

Prime Factorization of 27115

Prime factors of 27115 are 5, 11, 17, 29. Prime factorization of 27115 in exponential form is:

27115 = 51 × 111 × 171 × 291

Prime Factorization of 27133

Prime factors of 27133 are 43, 631. Prime factorization of 27133 in exponential form is:

27133 = 431 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 27115 and 27133.

LCM(27115,27133) = 51 × 111 × 171 × 291 × 431 × 6311
LCM(27115,27133) = 735711295