GCF and LCM Calculator Logo

What is the Least Common Multiple of 12723 and 12737?

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 12723 and 12737 is 162052851.

LCM(12723,12737) = 162052851

LCM Calculator and
and

Least Common Multiple of 12723 and 12737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12723 and 12737, than apply into the LCM equation.

GCF(12723,12737) = 1
LCM(12723,12737) = ( 12723 × 12737) / 1
LCM(12723,12737) = 162052851 / 1
LCM(12723,12737) = 162052851

Least Common Multiple (LCM) of 12723 and 12737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12723 and 12737. First we will calculate the prime factors of 12723 and 12737.

Prime Factorization of 12723

Prime factors of 12723 are 3, 4241. Prime factorization of 12723 in exponential form is:

12723 = 31 × 42411

Prime Factorization of 12737

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

12737 = 471 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 12723 and 12737.

LCM(12723,12737) = 31 × 42411 × 471 × 2711
LCM(12723,12737) = 162052851