What is the Least Common Multiple of 6834 and 6842?

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 6834 and 6842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6834 and 6842, than apply into the LCM equation.

GCF(6834,6842) = 2
LCM(6834,6842) = ( 6834 × 6842) / 2
LCM(6834,6842) = 46758228 / 2
LCM(6834,6842) = 23379114

Least Common Multiple (LCM) of 6834 and 6842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6834 and 6842. First we will calculate the prime factors of 6834 and 6842.

Prime Factorization of 6834

Prime Factorization of 6842

Now multiplying the highest exponent prime factors to calculate the LCM of 6834 and 6842.

LCM(6834,6842) = 2¹ × 3¹ × 17¹ × 67¹ × 11¹ × 311¹
LCM(6834,6842) = 23379114