GCF and LCM Calculator Logo

What is the Least Common Multiple of 1806 and 1814?

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 1806 and 1814 is 1638042.

LCM(1806,1814) = 1638042

LCM Calculator and
and

Least Common Multiple of 1806 and 1814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1806 and 1814, than apply into the LCM equation.

GCF(1806,1814) = 2
LCM(1806,1814) = ( 1806 × 1814) / 2
LCM(1806,1814) = 3276084 / 2
LCM(1806,1814) = 1638042

Least Common Multiple (LCM) of 1806 and 1814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1806 and 1814. First we will calculate the prime factors of 1806 and 1814.

Prime Factorization of 1806

Prime factors of 1806 are 2, 3, 7, 43. Prime factorization of 1806 in exponential form is:

1806 = 21 × 31 × 71 × 431

Prime Factorization of 1814

Prime factors of 1814 are 2, 907. Prime factorization of 1814 in exponential form is:

1814 = 21 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 1806 and 1814.

LCM(1806,1814) = 21 × 31 × 71 × 431 × 9071
LCM(1806,1814) = 1638042