GCF and LCM Calculator Logo

What is the Least Common Multiple of 12928 and 12945?

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 12928 and 12945 is 167352960.

LCM(12928,12945) = 167352960

LCM Calculator and
and

Least Common Multiple of 12928 and 12945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12928 and 12945, than apply into the LCM equation.

GCF(12928,12945) = 1
LCM(12928,12945) = ( 12928 × 12945) / 1
LCM(12928,12945) = 167352960 / 1
LCM(12928,12945) = 167352960

Least Common Multiple (LCM) of 12928 and 12945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12928 and 12945. First we will calculate the prime factors of 12928 and 12945.

Prime Factorization of 12928

Prime factors of 12928 are 2, 101. Prime factorization of 12928 in exponential form is:

12928 = 27 × 1011

Prime Factorization of 12945

Prime factors of 12945 are 3, 5, 863. Prime factorization of 12945 in exponential form is:

12945 = 31 × 51 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 12928 and 12945.

LCM(12928,12945) = 27 × 1011 × 31 × 51 × 8631
LCM(12928,12945) = 167352960