What is the Least Common Multiple of 1804 and 1822?

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 1804 and 1822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1804 and 1822, than apply into the LCM equation.

GCF(1804,1822) = 2
LCM(1804,1822) = ( 1804 × 1822) / 2
LCM(1804,1822) = 3286888 / 2
LCM(1804,1822) = 1643444

Least Common Multiple (LCM) of 1804 and 1822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1804 and 1822. First we will calculate the prime factors of 1804 and 1822.

Prime Factorization of 1804

Prime Factorization of 1822

Now multiplying the highest exponent prime factors to calculate the LCM of 1804 and 1822.

LCM(1804,1822) = 2² × 11¹ × 41¹ × 911¹
LCM(1804,1822) = 1643444