What is the Least Common Multiple of 24567 and 24573?

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 24567 and 24573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24567 and 24573, than apply into the LCM equation.

GCF(24567,24573) = 3
LCM(24567,24573) = ( 24567 × 24573) / 3
LCM(24567,24573) = 603684891 / 3
LCM(24567,24573) = 201228297

Least Common Multiple (LCM) of 24567 and 24573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24567 and 24573. First we will calculate the prime factors of 24567 and 24573.

Prime Factorization of 24567

Prime Factorization of 24573

Now multiplying the highest exponent prime factors to calculate the LCM of 24567 and 24573.

LCM(24567,24573) = 3¹ × 19¹ × 431¹ × 8191¹
LCM(24567,24573) = 201228297