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What is the Least Common Multiple of 27133 and 27142?

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 27133 and 27142 is 736443886.

LCM(27133,27142) = 736443886

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Least Common Multiple of 27133 and 27142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27133 and 27142, than apply into the LCM equation.

GCF(27133,27142) = 1
LCM(27133,27142) = ( 27133 × 27142) / 1
LCM(27133,27142) = 736443886 / 1
LCM(27133,27142) = 736443886

Least Common Multiple (LCM) of 27133 and 27142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27133 and 27142. First we will calculate the prime factors of 27133 and 27142.

Prime Factorization of 27133

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

27133 = 431 × 6311

Prime Factorization of 27142

Prime factors of 27142 are 2, 41, 331. Prime factorization of 27142 in exponential form is:

27142 = 21 × 411 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 27133 and 27142.

LCM(27133,27142) = 431 × 6311 × 21 × 411 × 3311
LCM(27133,27142) = 736443886