What is the Least Common Multiple of 6806 and 6824?

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 6806 and 6824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6806 and 6824, than apply into the LCM equation.

GCF(6806,6824) = 2
LCM(6806,6824) = ( 6806 × 6824) / 2
LCM(6806,6824) = 46444144 / 2
LCM(6806,6824) = 23222072

Least Common Multiple (LCM) of 6806 and 6824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6806 and 6824. First we will calculate the prime factors of 6806 and 6824.

Prime Factorization of 6806

Prime Factorization of 6824

Now multiplying the highest exponent prime factors to calculate the LCM of 6806 and 6824.

LCM(6806,6824) = 2³ × 41¹ × 83¹ × 853¹
LCM(6806,6824) = 23222072