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What is the Least Common Multiple of 27131 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 27131 and 27136 is 736226816.

LCM(27131,27136) = 736226816

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Least Common Multiple of 27131 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 27131 and 27136, than apply into the LCM equation.

GCF(27131,27136) = 1
LCM(27131,27136) = ( 27131 × 27136) / 1
LCM(27131,27136) = 736226816 / 1
LCM(27131,27136) = 736226816

Least Common Multiple (LCM) of 27131 and 27136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27131 and 27136. First we will calculate the prime factors of 27131 and 27136.

Prime Factorization of 27131

Prime factors of 27131 are 13, 2087. Prime factorization of 27131 in exponential form is:

27131 = 131 × 20871

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 27131 and 27136.

LCM(27131,27136) = 131 × 20871 × 29 × 531
LCM(27131,27136) = 736226816