What is the Least Common Multiple of 24819 and 24825?

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 24819 and 24825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24819 and 24825, than apply into the LCM equation.

GCF(24819,24825) = 3
LCM(24819,24825) = ( 24819 × 24825) / 3
LCM(24819,24825) = 616131675 / 3
LCM(24819,24825) = 205377225

Least Common Multiple (LCM) of 24819 and 24825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24819 and 24825. First we will calculate the prime factors of 24819 and 24825.

Prime Factorization of 24819

Prime Factorization of 24825

Now multiplying the highest exponent prime factors to calculate the LCM of 24819 and 24825.

LCM(24819,24825) = 3¹ × 8273¹ × 5² × 331¹
LCM(24819,24825) = 205377225