What is the Least Common Multiple of 1805 and 1825?

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 1825 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 1825, than apply into the LCM equation.

GCF(1805,1825) = 5
LCM(1805,1825) = ( 1805 × 1825) / 5
LCM(1805,1825) = 3294125 / 5
LCM(1805,1825) = 658825

Least Common Multiple (LCM) of 1805 and 1825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1805 and 1825. First we will calculate the prime factors of 1805 and 1825.

Prime Factorization of 1805

Prime Factorization of 1825

Now multiplying the highest exponent prime factors to calculate the LCM of 1805 and 1825.

LCM(1805,1825) = 5² × 19² × 73¹
LCM(1805,1825) = 658825