What is the Least Common Multiple of 6756 and 6762?

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 6762 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 6762, than apply into the LCM equation.

GCF(6756,6762) = 6
LCM(6756,6762) = ( 6756 × 6762) / 6
LCM(6756,6762) = 45684072 / 6
LCM(6756,6762) = 7614012

Least Common Multiple (LCM) of 6756 and 6762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6756 and 6762. First we will calculate the prime factors of 6756 and 6762.

Prime Factorization of 6756

Prime Factorization of 6762

Now multiplying the highest exponent prime factors to calculate the LCM of 6756 and 6762.

LCM(6756,6762) = 2² × 3¹ × 563¹ × 7² × 23¹
LCM(6756,6762) = 7614012