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What is the Least Common Multiple of 27129 and 27136?

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 27129 and 27136 is 736172544.

LCM(27129,27136) = 736172544

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Least Common Multiple of 27129 and 27136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27129 and 27136, than apply into the LCM equation.

GCF(27129,27136) = 1
LCM(27129,27136) = ( 27129 × 27136) / 1
LCM(27129,27136) = 736172544 / 1
LCM(27129,27136) = 736172544

Least Common Multiple (LCM) of 27129 and 27136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27129 and 27136. First we will calculate the prime factors of 27129 and 27136.

Prime Factorization of 27129

Prime factors of 27129 are 3, 9043. Prime factorization of 27129 in exponential form is:

27129 = 31 × 90431

Prime Factorization of 27136

Prime factors of 27136 are 2, 53. Prime factorization of 27136 in exponential form is:

27136 = 29 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 27129 and 27136.

LCM(27129,27136) = 31 × 90431 × 29 × 531
LCM(27129,27136) = 736172544