What is the Least Common Multiple of 30213 and 30225?

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 30213 and 30225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30213 and 30225, than apply into the LCM equation.

GCF(30213,30225) = 3
LCM(30213,30225) = ( 30213 × 30225) / 3
LCM(30213,30225) = 913187925 / 3
LCM(30213,30225) = 304395975

Least Common Multiple (LCM) of 30213 and 30225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30213 and 30225. First we will calculate the prime factors of 30213 and 30225.

Prime Factorization of 30213

Prime Factorization of 30225

Now multiplying the highest exponent prime factors to calculate the LCM of 30213 and 30225.

LCM(30213,30225) = 3⁴ × 373¹ × 5² × 13¹ × 31¹
LCM(30213,30225) = 304395975