What is the Least Common Multiple of 6786 and 6792?

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 6786 and 6792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6786 and 6792, than apply into the LCM equation.

GCF(6786,6792) = 6
LCM(6786,6792) = ( 6786 × 6792) / 6
LCM(6786,6792) = 46090512 / 6
LCM(6786,6792) = 7681752

Least Common Multiple (LCM) of 6786 and 6792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6786 and 6792. First we will calculate the prime factors of 6786 and 6792.

Prime Factorization of 6786

Prime Factorization of 6792

Now multiplying the highest exponent prime factors to calculate the LCM of 6786 and 6792.

LCM(6786,6792) = 2³ × 3² × 13¹ × 29¹ × 283¹
LCM(6786,6792) = 7681752