What is the Least Common Multiple of 6678 and 6688?

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 6678 and 6688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6678 and 6688, than apply into the LCM equation.

GCF(6678,6688) = 2
LCM(6678,6688) = ( 6678 × 6688) / 2
LCM(6678,6688) = 44662464 / 2
LCM(6678,6688) = 22331232

Least Common Multiple (LCM) of 6678 and 6688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6678 and 6688. First we will calculate the prime factors of 6678 and 6688.

Prime Factorization of 6678

Prime Factorization of 6688

Now multiplying the highest exponent prime factors to calculate the LCM of 6678 and 6688.

LCM(6678,6688) = 2⁵ × 3² × 7¹ × 53¹ × 11¹ × 19¹
LCM(6678,6688) = 22331232