What is the Least Common Multiple of 6756 and 6771?

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 6756 and 6771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6756 and 6771, than apply into the LCM equation.

GCF(6756,6771) = 3
LCM(6756,6771) = ( 6756 × 6771) / 3
LCM(6756,6771) = 45744876 / 3
LCM(6756,6771) = 15248292

Least Common Multiple (LCM) of 6756 and 6771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6756 and 6771. First we will calculate the prime factors of 6756 and 6771.

Prime Factorization of 6756

Prime Factorization of 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 6756 and 6771.

LCM(6756,6771) = 2² × 3¹ × 563¹ × 37¹ × 61¹
LCM(6756,6771) = 15248292