What is the Least Common Multiple of 6846 and 6854?

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 6846 and 6854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6846 and 6854, than apply into the LCM equation.

GCF(6846,6854) = 2
LCM(6846,6854) = ( 6846 × 6854) / 2
LCM(6846,6854) = 46922484 / 2
LCM(6846,6854) = 23461242

Least Common Multiple (LCM) of 6846 and 6854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6846 and 6854. First we will calculate the prime factors of 6846 and 6854.

Prime Factorization of 6846

Prime Factorization of 6854

Now multiplying the highest exponent prime factors to calculate the LCM of 6846 and 6854.

LCM(6846,6854) = 2¹ × 3¹ × 7¹ × 163¹ × 23¹ × 149¹
LCM(6846,6854) = 23461242