What is the Least Common Multiple of 28275 and 28289?

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 28289 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 28289, than apply into the LCM equation.

GCF(28275,28289) = 1
LCM(28275,28289) = ( 28275 × 28289) / 1
LCM(28275,28289) = 799871475 / 1
LCM(28275,28289) = 799871475

Least Common Multiple (LCM) of 28275 and 28289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28275 and 28289. First we will calculate the prime factors of 28275 and 28289.

Prime Factorization of 28275

Prime Factorization of 28289

Now multiplying the highest exponent prime factors to calculate the LCM of 28275 and 28289.

LCM(28275,28289) = 3¹ × 5² × 13¹ × 29¹ × 28289¹
LCM(28275,28289) = 799871475