What is the Least Common Multiple of 6756 and 6775?

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 6775 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 6775, than apply into the LCM equation.

GCF(6756,6775) = 1
LCM(6756,6775) = ( 6756 × 6775) / 1
LCM(6756,6775) = 45771900 / 1
LCM(6756,6775) = 45771900

Least Common Multiple (LCM) of 6756 and 6775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6756 and 6775. First we will calculate the prime factors of 6756 and 6775.

Prime Factorization of 6756

Prime Factorization of 6775

Now multiplying the highest exponent prime factors to calculate the LCM of 6756 and 6775.

LCM(6756,6775) = 2² × 3¹ × 563¹ × 5² × 271¹
LCM(6756,6775) = 45771900