What is the Least Common Multiple of 6800 and 6813?

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 6813 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 6813, than apply into the LCM equation.

GCF(6800,6813) = 1
LCM(6800,6813) = ( 6800 × 6813) / 1
LCM(6800,6813) = 46328400 / 1
LCM(6800,6813) = 46328400

Least Common Multiple (LCM) of 6800 and 6813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6800 and 6813. First we will calculate the prime factors of 6800 and 6813.

Prime Factorization of 6800

Prime Factorization of 6813

Now multiplying the highest exponent prime factors to calculate the LCM of 6800 and 6813.

LCM(6800,6813) = 2⁴ × 5² × 17¹ × 3² × 757¹
LCM(6800,6813) = 46328400