What is the Least Common Multiple of 28275 and 28284?

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 28275 and 28284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28275 and 28284, than apply into the LCM equation.

GCF(28275,28284) = 3
LCM(28275,28284) = ( 28275 × 28284) / 3
LCM(28275,28284) = 799730100 / 3
LCM(28275,28284) = 266576700

Least Common Multiple (LCM) of 28275 and 28284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28275 and 28284. First we will calculate the prime factors of 28275 and 28284.

Prime Factorization of 28275

Prime Factorization of 28284

Now multiplying the highest exponent prime factors to calculate the LCM of 28275 and 28284.

LCM(28275,28284) = 3¹ × 5² × 13¹ × 29¹ × 2² × 2357¹
LCM(28275,28284) = 266576700