What is the Least Common Multiple of 24189 and 24195?

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 24195 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 24195, than apply into the LCM equation.

GCF(24189,24195) = 3
LCM(24189,24195) = ( 24189 × 24195) / 3
LCM(24189,24195) = 585252855 / 3
LCM(24189,24195) = 195084285

Least Common Multiple (LCM) of 24189 and 24195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24189 and 24195. First we will calculate the prime factors of 24189 and 24195.

Prime Factorization of 24189

Prime Factorization of 24195

Now multiplying the highest exponent prime factors to calculate the LCM of 24189 and 24195.

LCM(24189,24195) = 3¹ × 11¹ × 733¹ × 5¹ × 1613¹
LCM(24189,24195) = 195084285