What is the Least Common Multiple of 1806 and 1813?

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 1806 and 1813 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 1813, than apply into the LCM equation.

GCF(1806,1813) = 7
LCM(1806,1813) = ( 1806 × 1813) / 7
LCM(1806,1813) = 3274278 / 7
LCM(1806,1813) = 467754

Least Common Multiple (LCM) of 1806 and 1813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1806 and 1813. First we will calculate the prime factors of 1806 and 1813.

Prime Factorization of 1806

Prime Factorization of 1813

Now multiplying the highest exponent prime factors to calculate the LCM of 1806 and 1813.

LCM(1806,1813) = 2¹ × 3¹ × 7² × 43¹ × 37¹
LCM(1806,1813) = 467754