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What is the Least Common Multiple of 27012 and 27031?

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 27012 and 27031 is 730161372.

LCM(27012,27031) = 730161372

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Least Common Multiple of 27012 and 27031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27012 and 27031, than apply into the LCM equation.

GCF(27012,27031) = 1
LCM(27012,27031) = ( 27012 × 27031) / 1
LCM(27012,27031) = 730161372 / 1
LCM(27012,27031) = 730161372

Least Common Multiple (LCM) of 27012 and 27031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27012 and 27031. First we will calculate the prime factors of 27012 and 27031.

Prime Factorization of 27012

Prime factors of 27012 are 2, 3, 2251. Prime factorization of 27012 in exponential form is:

27012 = 22 × 31 × 22511

Prime Factorization of 27031

Prime factors of 27031 are 27031. Prime factorization of 27031 in exponential form is:

27031 = 270311

Now multiplying the highest exponent prime factors to calculate the LCM of 27012 and 27031.

LCM(27012,27031) = 22 × 31 × 22511 × 270311
LCM(27012,27031) = 730161372