What is the Least Common Multiple of 24258 and 24271?

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 24271 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 24271, than apply into the LCM equation.

GCF(24258,24271) = 13
LCM(24258,24271) = ( 24258 × 24271) / 13
LCM(24258,24271) = 588765918 / 13
LCM(24258,24271) = 45289686

Least Common Multiple (LCM) of 24258 and 24271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24258 and 24271. First we will calculate the prime factors of 24258 and 24271.

Prime Factorization of 24258

Prime Factorization of 24271

Now multiplying the highest exponent prime factors to calculate the LCM of 24258 and 24271.

LCM(24258,24271) = 2¹ × 3¹ × 13¹ × 311¹ × 1867¹
LCM(24258,24271) = 45289686