What is the Least Common Multiple of 1805 and 1823?

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 1805 and 1823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1805 and 1823, than apply into the LCM equation.

GCF(1805,1823) = 1
LCM(1805,1823) = ( 1805 × 1823) / 1
LCM(1805,1823) = 3290515 / 1
LCM(1805,1823) = 3290515

Least Common Multiple (LCM) of 1805 and 1823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1805 and 1823. First we will calculate the prime factors of 1805 and 1823.

Prime Factorization of 1805

Prime Factorization of 1823

Now multiplying the highest exponent prime factors to calculate the LCM of 1805 and 1823.

LCM(1805,1823) = 5¹ × 19² × 1823¹
LCM(1805,1823) = 3290515