GCF and LCM Calculator Logo

What is the Least Common Multiple of 12709 and 12727?

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 12709 and 12727 is 161747443.

LCM(12709,12727) = 161747443

LCM Calculator and
and

Least Common Multiple of 12709 and 12727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12709 and 12727, than apply into the LCM equation.

GCF(12709,12727) = 1
LCM(12709,12727) = ( 12709 × 12727) / 1
LCM(12709,12727) = 161747443 / 1
LCM(12709,12727) = 161747443

Least Common Multiple (LCM) of 12709 and 12727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12709 and 12727. First we will calculate the prime factors of 12709 and 12727.

Prime Factorization of 12709

Prime factors of 12709 are 71, 179. Prime factorization of 12709 in exponential form is:

12709 = 711 × 1791

Prime Factorization of 12727

Prime factors of 12727 are 11, 13, 89. Prime factorization of 12727 in exponential form is:

12727 = 111 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 12709 and 12727.

LCM(12709,12727) = 711 × 1791 × 111 × 131 × 891
LCM(12709,12727) = 161747443