What is the Least Common Multiple of 6684 and 6702?

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 6684 and 6702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6684 and 6702, than apply into the LCM equation.

GCF(6684,6702) = 6
LCM(6684,6702) = ( 6684 × 6702) / 6
LCM(6684,6702) = 44796168 / 6
LCM(6684,6702) = 7466028

Least Common Multiple (LCM) of 6684 and 6702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6684 and 6702. First we will calculate the prime factors of 6684 and 6702.

Prime Factorization of 6684

Prime Factorization of 6702

Now multiplying the highest exponent prime factors to calculate the LCM of 6684 and 6702.

LCM(6684,6702) = 2² × 3¹ × 557¹ × 1117¹
LCM(6684,6702) = 7466028