What is the Least Common Multiple of 6688 and 6706?

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 6688 and 6706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6688 and 6706, than apply into the LCM equation.

GCF(6688,6706) = 2
LCM(6688,6706) = ( 6688 × 6706) / 2
LCM(6688,6706) = 44849728 / 2
LCM(6688,6706) = 22424864

Least Common Multiple (LCM) of 6688 and 6706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6688 and 6706. First we will calculate the prime factors of 6688 and 6706.

Prime Factorization of 6688

Prime Factorization of 6706

Now multiplying the highest exponent prime factors to calculate the LCM of 6688 and 6706.

LCM(6688,6706) = 2⁵ × 11¹ × 19¹ × 7¹ × 479¹
LCM(6688,6706) = 22424864