What is the Least Common Multiple of 58200 and 58209?

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 58200 and 58209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58200 and 58209, than apply into the LCM equation.

GCF(58200,58209) = 3
LCM(58200,58209) = ( 58200 × 58209) / 3
LCM(58200,58209) = 3387763800 / 3
LCM(58200,58209) = 1129254600

Least Common Multiple (LCM) of 58200 and 58209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58200 and 58209. First we will calculate the prime factors of 58200 and 58209.

Prime Factorization of 58200

Prime Factorization of 58209

Now multiplying the highest exponent prime factors to calculate the LCM of 58200 and 58209.

LCM(58200,58209) = 2³ × 3¹ × 5² × 97¹ × 19403¹
LCM(58200,58209) = 1129254600