GCF and LCM Calculator Logo

What is the Least Common Multiple of 1831 and 1849?

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 1831 and 1849 is 3385519.

LCM(1831,1849) = 3385519

LCM Calculator and
and

Least Common Multiple of 1831 and 1849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1831 and 1849, than apply into the LCM equation.

GCF(1831,1849) = 1
LCM(1831,1849) = ( 1831 × 1849) / 1
LCM(1831,1849) = 3385519 / 1
LCM(1831,1849) = 3385519

Least Common Multiple (LCM) of 1831 and 1849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1831 and 1849. First we will calculate the prime factors of 1831 and 1849.

Prime Factorization of 1831

Prime factors of 1831 are 1831. Prime factorization of 1831 in exponential form is:

1831 = 18311

Prime Factorization of 1849

Prime factors of 1849 are 43. Prime factorization of 1849 in exponential form is:

1849 = 432

Now multiplying the highest exponent prime factors to calculate the LCM of 1831 and 1849.

LCM(1831,1849) = 18311 × 432
LCM(1831,1849) = 3385519