What is the Least Common Multiple of 6708 and 6714?

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 6708 and 6714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6708 and 6714, than apply into the LCM equation.

GCF(6708,6714) = 6
LCM(6708,6714) = ( 6708 × 6714) / 6
LCM(6708,6714) = 45037512 / 6
LCM(6708,6714) = 7506252

Least Common Multiple (LCM) of 6708 and 6714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6708 and 6714. First we will calculate the prime factors of 6708 and 6714.

Prime Factorization of 6708

Prime Factorization of 6714

Now multiplying the highest exponent prime factors to calculate the LCM of 6708 and 6714.

LCM(6708,6714) = 2² × 3² × 13¹ × 43¹ × 373¹
LCM(6708,6714) = 7506252