What is the Least Common Multiple of 28355 and 28375?

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 28355 and 28375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28355 and 28375, than apply into the LCM equation.

GCF(28355,28375) = 5
LCM(28355,28375) = ( 28355 × 28375) / 5
LCM(28355,28375) = 804573125 / 5
LCM(28355,28375) = 160914625

Least Common Multiple (LCM) of 28355 and 28375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28355 and 28375. First we will calculate the prime factors of 28355 and 28375.

Prime Factorization of 28355

Prime Factorization of 28375

Now multiplying the highest exponent prime factors to calculate the LCM of 28355 and 28375.

LCM(28355,28375) = 5³ × 53¹ × 107¹ × 227¹
LCM(28355,28375) = 160914625