GCF and LCM Calculator Logo

What is the Least Common Multiple of 12737 and 12742?

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 12737 and 12742 is 162294854.

LCM(12737,12742) = 162294854

LCM Calculator and
and

Least Common Multiple of 12737 and 12742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12737 and 12742, than apply into the LCM equation.

GCF(12737,12742) = 1
LCM(12737,12742) = ( 12737 × 12742) / 1
LCM(12737,12742) = 162294854 / 1
LCM(12737,12742) = 162294854

Least Common Multiple (LCM) of 12737 and 12742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12737 and 12742. First we will calculate the prime factors of 12737 and 12742.

Prime Factorization of 12737

Prime factors of 12737 are 47, 271. Prime factorization of 12737 in exponential form is:

12737 = 471 × 2711

Prime Factorization of 12742

Prime factors of 12742 are 2, 23, 277. Prime factorization of 12742 in exponential form is:

12742 = 21 × 231 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 12737 and 12742.

LCM(12737,12742) = 471 × 2711 × 21 × 231 × 2771
LCM(12737,12742) = 162294854