What is the Least Common Multiple of 28175 and 28189?

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 28175 and 28189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28175 and 28189, than apply into the LCM equation.

GCF(28175,28189) = 7
LCM(28175,28189) = ( 28175 × 28189) / 7
LCM(28175,28189) = 794225075 / 7
LCM(28175,28189) = 113460725

Least Common Multiple (LCM) of 28175 and 28189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28175 and 28189. First we will calculate the prime factors of 28175 and 28189.

Prime Factorization of 28175

Prime Factorization of 28189

Now multiplying the highest exponent prime factors to calculate the LCM of 28175 and 28189.

LCM(28175,28189) = 5² × 7² × 23¹ × 4027¹
LCM(28175,28189) = 113460725