What is the Least Common Multiple of 243 and 255?

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 243 and 255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 243 and 255, than apply into the LCM equation.

GCF(243,255) = 3
LCM(243,255) = ( 243 × 255) / 3
LCM(243,255) = 61965 / 3
LCM(243,255) = 20655

Least Common Multiple (LCM) of 243 and 255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 243 and 255. First we will calculate the prime factors of 243 and 255.

Prime Factorization of 243

Prime Factorization of 255

Now multiplying the highest exponent prime factors to calculate the LCM of 243 and 255.

LCM(243,255) = 3⁵ × 5¹ × 17¹
LCM(243,255) = 20655