What is the Least Common Multiple of 6764 and 6784?

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 6764 and 6784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6764 and 6784, than apply into the LCM equation.

GCF(6764,6784) = 4
LCM(6764,6784) = ( 6764 × 6784) / 4
LCM(6764,6784) = 45886976 / 4
LCM(6764,6784) = 11471744

Least Common Multiple (LCM) of 6764 and 6784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6764 and 6784. First we will calculate the prime factors of 6764 and 6784.

Prime Factorization of 6764

Prime Factorization of 6784

Now multiplying the highest exponent prime factors to calculate the LCM of 6764 and 6784.

LCM(6764,6784) = 2⁷ × 19¹ × 89¹ × 53¹
LCM(6764,6784) = 11471744