GCF and LCM Calculator Logo

What is the Least Common Multiple of 13714 and 13731?

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 13714 and 13731 is 188306934.

LCM(13714,13731) = 188306934

LCM Calculator and
and

Least Common Multiple of 13714 and 13731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13714 and 13731, than apply into the LCM equation.

GCF(13714,13731) = 1
LCM(13714,13731) = ( 13714 × 13731) / 1
LCM(13714,13731) = 188306934 / 1
LCM(13714,13731) = 188306934

Least Common Multiple (LCM) of 13714 and 13731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13714 and 13731. First we will calculate the prime factors of 13714 and 13731.

Prime Factorization of 13714

Prime factors of 13714 are 2, 6857. Prime factorization of 13714 in exponential form is:

13714 = 21 × 68571

Prime Factorization of 13731

Prime factors of 13731 are 3, 23, 199. Prime factorization of 13731 in exponential form is:

13731 = 31 × 231 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 13714 and 13731.

LCM(13714,13731) = 21 × 68571 × 31 × 231 × 1991
LCM(13714,13731) = 188306934