What is the Least Common Multiple of 24258 and 24273?

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 24258 and 24273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24258 and 24273, than apply into the LCM equation.

GCF(24258,24273) = 3
LCM(24258,24273) = ( 24258 × 24273) / 3
LCM(24258,24273) = 588814434 / 3
LCM(24258,24273) = 196271478

Least Common Multiple (LCM) of 24258 and 24273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24258 and 24273. First we will calculate the prime factors of 24258 and 24273.

Prime Factorization of 24258

Prime Factorization of 24273

Now multiplying the highest exponent prime factors to calculate the LCM of 24258 and 24273.

LCM(24258,24273) = 2¹ × 3³ × 13¹ × 311¹ × 29¹ × 31¹
LCM(24258,24273) = 196271478