What is the Least Common Multiple of 6714 and 6731?

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 6714 and 6731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6714 and 6731, than apply into the LCM equation.

GCF(6714,6731) = 1
LCM(6714,6731) = ( 6714 × 6731) / 1
LCM(6714,6731) = 45191934 / 1
LCM(6714,6731) = 45191934

Least Common Multiple (LCM) of 6714 and 6731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6714 and 6731. First we will calculate the prime factors of 6714 and 6731.

Prime Factorization of 6714

Prime Factorization of 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 6714 and 6731.

LCM(6714,6731) = 2¹ × 3² × 373¹ × 53¹ × 127¹
LCM(6714,6731) = 45191934