What is the Least Common Multiple of 30225 and 30231?

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 30225 and 30231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30225 and 30231, than apply into the LCM equation.

GCF(30225,30231) = 3
LCM(30225,30231) = ( 30225 × 30231) / 3
LCM(30225,30231) = 913731975 / 3
LCM(30225,30231) = 304577325

Least Common Multiple (LCM) of 30225 and 30231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30225 and 30231. First we will calculate the prime factors of 30225 and 30231.

Prime Factorization of 30225

Prime Factorization of 30231

Now multiplying the highest exponent prime factors to calculate the LCM of 30225 and 30231.

LCM(30225,30231) = 3² × 5² × 13¹ × 31¹ × 3359¹
LCM(30225,30231) = 304577325