What is the Least Common Multiple of 24189 and 24203?

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 24189 and 24203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24189 and 24203, than apply into the LCM equation.

GCF(24189,24203) = 1
LCM(24189,24203) = ( 24189 × 24203) / 1
LCM(24189,24203) = 585446367 / 1
LCM(24189,24203) = 585446367

Least Common Multiple (LCM) of 24189 and 24203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24189 and 24203. First we will calculate the prime factors of 24189 and 24203.

Prime Factorization of 24189

Prime Factorization of 24203

Now multiplying the highest exponent prime factors to calculate the LCM of 24189 and 24203.

LCM(24189,24203) = 3¹ × 11¹ × 733¹ × 24203¹
LCM(24189,24203) = 585446367