What is the Least Common Multiple of 48208 and 48225?

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 48208 and 48225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48208 and 48225, than apply into the LCM equation.

GCF(48208,48225) = 1
LCM(48208,48225) = ( 48208 × 48225) / 1
LCM(48208,48225) = 2324830800 / 1
LCM(48208,48225) = 2324830800

Least Common Multiple (LCM) of 48208 and 48225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48208 and 48225. First we will calculate the prime factors of 48208 and 48225.

Prime Factorization of 48208

Prime Factorization of 48225

Now multiplying the highest exponent prime factors to calculate the LCM of 48208 and 48225.

LCM(48208,48225) = 2⁴ × 23¹ × 131¹ × 3¹ × 5² × 643¹
LCM(48208,48225) = 2324830800