What is the Least Common Multiple of 6714 and 6734?

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 6734 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 6734, than apply into the LCM equation.

GCF(6714,6734) = 2
LCM(6714,6734) = ( 6714 × 6734) / 2
LCM(6714,6734) = 45212076 / 2
LCM(6714,6734) = 22606038

Least Common Multiple (LCM) of 6714 and 6734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6714 and 6734. First we will calculate the prime factors of 6714 and 6734.

Prime Factorization of 6714

Prime Factorization of 6734

Now multiplying the highest exponent prime factors to calculate the LCM of 6714 and 6734.

LCM(6714,6734) = 2¹ × 3² × 373¹ × 7¹ × 13¹ × 37¹
LCM(6714,6734) = 22606038