What is the Least Common Multiple of 18805 and 18825?

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 18805 and 18825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18805 and 18825, than apply into the LCM equation.

GCF(18805,18825) = 5
LCM(18805,18825) = ( 18805 × 18825) / 5
LCM(18805,18825) = 354004125 / 5
LCM(18805,18825) = 70800825

Least Common Multiple (LCM) of 18805 and 18825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18805 and 18825. First we will calculate the prime factors of 18805 and 18825.

Prime Factorization of 18805

Prime Factorization of 18825

Now multiplying the highest exponent prime factors to calculate the LCM of 18805 and 18825.

LCM(18805,18825) = 5² × 3761¹ × 3¹ × 251¹
LCM(18805,18825) = 70800825