GCF and LCM Calculator Logo

What is the Least Common Multiple of 6846 and 6865?

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 (LCM) of 6846 and 6865 is 46997790.

LCM(6846,6865) = 46997790

LCM Calculator and
and

Least Common Multiple of 6846 and 6865 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 6865, than apply into the LCM equation.

GCF(6846,6865) = 1
LCM(6846,6865) = ( 6846 × 6865) / 1
LCM(6846,6865) = 46997790 / 1
LCM(6846,6865) = 46997790

Least Common Multiple (LCM) of 6846 and 6865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6846 and 6865. First we will calculate the prime factors of 6846 and 6865.

Prime Factorization of 6846

Prime factors of 6846 are 2, 3, 7, 163. Prime factorization of 6846 in exponential form is:

6846 = 21 × 31 × 71 × 1631

Prime Factorization of 6865

Prime factors of 6865 are 5, 1373. Prime factorization of 6865 in exponential form is:

6865 = 51 × 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 6846 and 6865.

LCM(6846,6865) = 21 × 31 × 71 × 1631 × 51 × 13731
LCM(6846,6865) = 46997790