What is the Least Common Multiple of 30243 and 30255?

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 30243 and 30255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30243 and 30255, than apply into the LCM equation.

GCF(30243,30255) = 3
LCM(30243,30255) = ( 30243 × 30255) / 3
LCM(30243,30255) = 915001965 / 3
LCM(30243,30255) = 305000655

Least Common Multiple (LCM) of 30243 and 30255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30243 and 30255. First we will calculate the prime factors of 30243 and 30255.

Prime Factorization of 30243

Prime Factorization of 30255

Now multiplying the highest exponent prime factors to calculate the LCM of 30243 and 30255.

LCM(30243,30255) = 3¹ × 17¹ × 593¹ × 5¹ × 2017¹
LCM(30243,30255) = 305000655