What is the Least Common Multiple of 6810 and 6820?

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 6810 and 6820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6810 and 6820, than apply into the LCM equation.

GCF(6810,6820) = 10
LCM(6810,6820) = ( 6810 × 6820) / 10
LCM(6810,6820) = 46444200 / 10
LCM(6810,6820) = 4644420

Least Common Multiple (LCM) of 6810 and 6820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6810 and 6820. First we will calculate the prime factors of 6810 and 6820.

Prime Factorization of 6810

Prime Factorization of 6820

Now multiplying the highest exponent prime factors to calculate the LCM of 6810 and 6820.

LCM(6810,6820) = 2² × 3¹ × 5¹ × 227¹ × 11¹ × 31¹
LCM(6810,6820) = 4644420