What is the Least Common Multiple of 30225 and 30234?

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 30234 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 30234, than apply into the LCM equation.

GCF(30225,30234) = 3
LCM(30225,30234) = ( 30225 × 30234) / 3
LCM(30225,30234) = 913822650 / 3
LCM(30225,30234) = 304607550

Least Common Multiple (LCM) of 30225 and 30234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30225 and 30234. First we will calculate the prime factors of 30225 and 30234.

Prime Factorization of 30225

Prime Factorization of 30234

Now multiplying the highest exponent prime factors to calculate the LCM of 30225 and 30234.

LCM(30225,30234) = 3¹ × 5² × 13¹ × 31¹ × 2¹ × 5039¹
LCM(30225,30234) = 304607550