What is the Least Common Multiple of 6780 and 6788?

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 6780 and 6788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6780 and 6788, than apply into the LCM equation.

GCF(6780,6788) = 4
LCM(6780,6788) = ( 6780 × 6788) / 4
LCM(6780,6788) = 46022640 / 4
LCM(6780,6788) = 11505660

Least Common Multiple (LCM) of 6780 and 6788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6780 and 6788. First we will calculate the prime factors of 6780 and 6788.

Prime Factorization of 6780

Prime Factorization of 6788

Now multiplying the highest exponent prime factors to calculate the LCM of 6780 and 6788.

LCM(6780,6788) = 2² × 3¹ × 5¹ × 113¹ × 1697¹
LCM(6780,6788) = 11505660