What is the Least Common Multiple of 13713 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 of 13713 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 13713 and 13731, than apply into the LCM equation.

GCF(13713,13731) = 3
LCM(13713,13731) = ( 13713 × 13731) / 3
LCM(13713,13731) = 188293203 / 3
LCM(13713,13731) = 62764401

Least Common Multiple (LCM) of 13713 and 13731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13713 and 13731. First we will calculate the prime factors of 13713 and 13731.

Prime Factorization of 13713

Prime Factorization of 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 13713 and 13731.

LCM(13713,13731) = 3¹ × 7¹ × 653¹ × 23¹ × 199¹
LCM(13713,13731) = 62764401