GCF and LCM Calculator Logo

What is the Least Common Multiple of 12720 and 12734?

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 12720 and 12734 is 80988240.

LCM(12720,12734) = 80988240

LCM Calculator and
and

Least Common Multiple of 12720 and 12734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12720 and 12734, than apply into the LCM equation.

GCF(12720,12734) = 2
LCM(12720,12734) = ( 12720 × 12734) / 2
LCM(12720,12734) = 161976480 / 2
LCM(12720,12734) = 80988240

Least Common Multiple (LCM) of 12720 and 12734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12720 and 12734. First we will calculate the prime factors of 12720 and 12734.

Prime Factorization of 12720

Prime factors of 12720 are 2, 3, 5, 53. Prime factorization of 12720 in exponential form is:

12720 = 24 × 31 × 51 × 531

Prime Factorization of 12734

Prime factors of 12734 are 2, 6367. Prime factorization of 12734 in exponential form is:

12734 = 21 × 63671

Now multiplying the highest exponent prime factors to calculate the LCM of 12720 and 12734.

LCM(12720,12734) = 24 × 31 × 51 × 531 × 63671
LCM(12720,12734) = 80988240