GCF and LCM Calculator Logo

What is the Least Common Multiple of 12936 and 12954?

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 12936 and 12954 is 27928824.

LCM(12936,12954) = 27928824

LCM Calculator and
and

Least Common Multiple of 12936 and 12954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12936 and 12954, than apply into the LCM equation.

GCF(12936,12954) = 6
LCM(12936,12954) = ( 12936 × 12954) / 6
LCM(12936,12954) = 167572944 / 6
LCM(12936,12954) = 27928824

Least Common Multiple (LCM) of 12936 and 12954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12936 and 12954. First we will calculate the prime factors of 12936 and 12954.

Prime Factorization of 12936

Prime factors of 12936 are 2, 3, 7, 11. Prime factorization of 12936 in exponential form is:

12936 = 23 × 31 × 72 × 111

Prime Factorization of 12954

Prime factors of 12954 are 2, 3, 17, 127. Prime factorization of 12954 in exponential form is:

12954 = 21 × 31 × 171 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 12936 and 12954.

LCM(12936,12954) = 23 × 31 × 72 × 111 × 171 × 1271
LCM(12936,12954) = 27928824