What is the Least Common Multiple of 6809 and 6827?

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 6809 and 6827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6809 and 6827, than apply into the LCM equation.

GCF(6809,6827) = 1
LCM(6809,6827) = ( 6809 × 6827) / 1
LCM(6809,6827) = 46485043 / 1
LCM(6809,6827) = 46485043

Least Common Multiple (LCM) of 6809 and 6827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6809 and 6827. First we will calculate the prime factors of 6809 and 6827.

Prime Factorization of 6809

Prime Factorization of 6827

Now multiplying the highest exponent prime factors to calculate the LCM of 6809 and 6827.

LCM(6809,6827) = 11¹ × 619¹ × 6827¹
LCM(6809,6827) = 46485043