What is the Least Common Multiple of 6768 and 6786?

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 6768 and 6786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6768 and 6786, than apply into the LCM equation.

GCF(6768,6786) = 18
LCM(6768,6786) = ( 6768 × 6786) / 18
LCM(6768,6786) = 45927648 / 18
LCM(6768,6786) = 2551536

Least Common Multiple (LCM) of 6768 and 6786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6768 and 6786. First we will calculate the prime factors of 6768 and 6786.

Prime Factorization of 6768

Prime Factorization of 6786

Now multiplying the highest exponent prime factors to calculate the LCM of 6768 and 6786.

LCM(6768,6786) = 2⁴ × 3² × 47¹ × 13¹ × 29¹
LCM(6768,6786) = 2551536