What is the Least Common Multiple of 30255 and 30264?

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 30255 and 30264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30255 and 30264, than apply into the LCM equation.

GCF(30255,30264) = 3
LCM(30255,30264) = ( 30255 × 30264) / 3
LCM(30255,30264) = 915637320 / 3
LCM(30255,30264) = 305212440

Least Common Multiple (LCM) of 30255 and 30264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30255 and 30264. First we will calculate the prime factors of 30255 and 30264.

Prime Factorization of 30255

Prime Factorization of 30264

Now multiplying the highest exponent prime factors to calculate the LCM of 30255 and 30264.

LCM(30255,30264) = 3¹ × 5¹ × 2017¹ × 2³ × 13¹ × 97¹
LCM(30255,30264) = 305212440