GCF and LCM Calculator Logo

What is the Least Common Multiple of 27014 and 27032?

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 27014 and 27032 is 365121224.

LCM(27014,27032) = 365121224

LCM Calculator and
and

Least Common Multiple of 27014 and 27032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27014 and 27032, than apply into the LCM equation.

GCF(27014,27032) = 2
LCM(27014,27032) = ( 27014 × 27032) / 2
LCM(27014,27032) = 730242448 / 2
LCM(27014,27032) = 365121224

Least Common Multiple (LCM) of 27014 and 27032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27014 and 27032. First we will calculate the prime factors of 27014 and 27032.

Prime Factorization of 27014

Prime factors of 27014 are 2, 13, 1039. Prime factorization of 27014 in exponential form is:

27014 = 21 × 131 × 10391

Prime Factorization of 27032

Prime factors of 27032 are 2, 31, 109. Prime factorization of 27032 in exponential form is:

27032 = 23 × 311 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 27014 and 27032.

LCM(27014,27032) = 23 × 131 × 10391 × 311 × 1091
LCM(27014,27032) = 365121224