GCF and LCM Calculator Logo

What is the Least Common Multiple of 2831 and 2835?

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 2831 and 2835 is 8025885.

LCM(2831,2835) = 8025885

LCM Calculator and
and

Least Common Multiple of 2831 and 2835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2831 and 2835, than apply into the LCM equation.

GCF(2831,2835) = 1
LCM(2831,2835) = ( 2831 × 2835) / 1
LCM(2831,2835) = 8025885 / 1
LCM(2831,2835) = 8025885

Least Common Multiple (LCM) of 2831 and 2835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2831 and 2835. First we will calculate the prime factors of 2831 and 2835.

Prime Factorization of 2831

Prime factors of 2831 are 19, 149. Prime factorization of 2831 in exponential form is:

2831 = 191 × 1491

Prime Factorization of 2835

Prime factors of 2835 are 3, 5, 7. Prime factorization of 2835 in exponential form is:

2835 = 34 × 51 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 2831 and 2835.

LCM(2831,2835) = 191 × 1491 × 34 × 51 × 71
LCM(2831,2835) = 8025885