What is the Least Common Multiple of 6768 and 6780?

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 6780 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 6780, than apply into the LCM equation.

GCF(6768,6780) = 12
LCM(6768,6780) = ( 6768 × 6780) / 12
LCM(6768,6780) = 45887040 / 12
LCM(6768,6780) = 3823920

Least Common Multiple (LCM) of 6768 and 6780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6768 and 6780. First we will calculate the prime factors of 6768 and 6780.

Prime Factorization of 6768

Prime Factorization of 6780

Now multiplying the highest exponent prime factors to calculate the LCM of 6768 and 6780.

LCM(6768,6780) = 2⁴ × 3² × 47¹ × 5¹ × 113¹
LCM(6768,6780) = 3823920