GCF and LCM Calculator Logo

What is the Least Common Multiple of 12014 and 12027?

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 12014 and 12027 is 144492378.

LCM(12014,12027) = 144492378

LCM Calculator and
and

Least Common Multiple of 12014 and 12027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12014 and 12027, than apply into the LCM equation.

GCF(12014,12027) = 1
LCM(12014,12027) = ( 12014 × 12027) / 1
LCM(12014,12027) = 144492378 / 1
LCM(12014,12027) = 144492378

Least Common Multiple (LCM) of 12014 and 12027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12014 and 12027. First we will calculate the prime factors of 12014 and 12027.

Prime Factorization of 12014

Prime factors of 12014 are 2, 6007. Prime factorization of 12014 in exponential form is:

12014 = 21 × 60071

Prime Factorization of 12027

Prime factors of 12027 are 3, 19, 211. Prime factorization of 12027 in exponential form is:

12027 = 31 × 191 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 12014 and 12027.

LCM(12014,12027) = 21 × 60071 × 31 × 191 × 2111
LCM(12014,12027) = 144492378