What is the Least Common Multiple of 28200 and 28205?

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 28200 and 28205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28200 and 28205, than apply into the LCM equation.

GCF(28200,28205) = 5
LCM(28200,28205) = ( 28200 × 28205) / 5
LCM(28200,28205) = 795381000 / 5
LCM(28200,28205) = 159076200

Least Common Multiple (LCM) of 28200 and 28205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28200 and 28205. First we will calculate the prime factors of 28200 and 28205.

Prime Factorization of 28200

Prime Factorization of 28205

Now multiplying the highest exponent prime factors to calculate the LCM of 28200 and 28205.

LCM(28200,28205) = 2³ × 3¹ × 5² × 47¹ × 5641¹
LCM(28200,28205) = 159076200