What is the Least Common Multiple of 6810 and 6814?

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 6814 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 6814, than apply into the LCM equation.

GCF(6810,6814) = 2
LCM(6810,6814) = ( 6810 × 6814) / 2
LCM(6810,6814) = 46403340 / 2
LCM(6810,6814) = 23201670

Least Common Multiple (LCM) of 6810 and 6814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6810 and 6814. First we will calculate the prime factors of 6810 and 6814.

Prime Factorization of 6810

Prime Factorization of 6814

Now multiplying the highest exponent prime factors to calculate the LCM of 6810 and 6814.

LCM(6810,6814) = 2¹ × 3¹ × 5¹ × 227¹ × 3407¹
LCM(6810,6814) = 23201670