What is the Least Common Multiple of 6768 and 6782?

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 6782 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 6782, than apply into the LCM equation.

GCF(6768,6782) = 2
LCM(6768,6782) = ( 6768 × 6782) / 2
LCM(6768,6782) = 45900576 / 2
LCM(6768,6782) = 22950288

Least Common Multiple (LCM) of 6768 and 6782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6768 and 6782. First we will calculate the prime factors of 6768 and 6782.

Prime Factorization of 6768

Prime Factorization of 6782

Now multiplying the highest exponent prime factors to calculate the LCM of 6768 and 6782.

LCM(6768,6782) = 2⁴ × 3² × 47¹ × 3391¹
LCM(6768,6782) = 22950288