What is the Least Common Multiple of 10825 and 10845?

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 10825 and 10845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10825 and 10845, than apply into the LCM equation.

GCF(10825,10845) = 5
LCM(10825,10845) = ( 10825 × 10845) / 5
LCM(10825,10845) = 117397125 / 5
LCM(10825,10845) = 23479425

Least Common Multiple (LCM) of 10825 and 10845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10825 and 10845. First we will calculate the prime factors of 10825 and 10845.

Prime Factorization of 10825

Prime Factorization of 10845

Now multiplying the highest exponent prime factors to calculate the LCM of 10825 and 10845.

LCM(10825,10845) = 5² × 433¹ × 3² × 241¹
LCM(10825,10845) = 23479425