What is the Least Common Multiple of 47808 and 47825?

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 47808 and 47825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47808 and 47825, than apply into the LCM equation.

GCF(47808,47825) = 1
LCM(47808,47825) = ( 47808 × 47825) / 1
LCM(47808,47825) = 2286417600 / 1
LCM(47808,47825) = 2286417600

Least Common Multiple (LCM) of 47808 and 47825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47808 and 47825. First we will calculate the prime factors of 47808 and 47825.

Prime Factorization of 47808

Prime Factorization of 47825

Now multiplying the highest exponent prime factors to calculate the LCM of 47808 and 47825.

LCM(47808,47825) = 2⁶ × 3² × 83¹ × 5² × 1913¹
LCM(47808,47825) = 2286417600