What is the Least Common Multiple of 4275 and 4284?

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 4275 and 4284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4275 and 4284, than apply into the LCM equation.

GCF(4275,4284) = 9
LCM(4275,4284) = ( 4275 × 4284) / 9
LCM(4275,4284) = 18314100 / 9
LCM(4275,4284) = 2034900

Least Common Multiple (LCM) of 4275 and 4284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4275 and 4284. First we will calculate the prime factors of 4275 and 4284.

Prime Factorization of 4275

Prime Factorization of 4284

Now multiplying the highest exponent prime factors to calculate the LCM of 4275 and 4284.

LCM(4275,4284) = 3² × 5² × 19¹ × 2² × 7¹ × 17¹
LCM(4275,4284) = 2034900