What is the Least Common Multiple of 6800 and 6809?

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 6800 and 6809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6800 and 6809, than apply into the LCM equation.

GCF(6800,6809) = 1
LCM(6800,6809) = ( 6800 × 6809) / 1
LCM(6800,6809) = 46301200 / 1
LCM(6800,6809) = 46301200

Least Common Multiple (LCM) of 6800 and 6809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6800 and 6809. First we will calculate the prime factors of 6800 and 6809.

Prime Factorization of 6800

Prime Factorization of 6809

Now multiplying the highest exponent prime factors to calculate the LCM of 6800 and 6809.

LCM(6800,6809) = 2⁴ × 5² × 17¹ × 11¹ × 619¹
LCM(6800,6809) = 46301200