What is the Least Common Multiple of 24393 and 24413?

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 24393 and 24413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24393 and 24413, than apply into the LCM equation.

GCF(24393,24413) = 1
LCM(24393,24413) = ( 24393 × 24413) / 1
LCM(24393,24413) = 595506309 / 1
LCM(24393,24413) = 595506309

Least Common Multiple (LCM) of 24393 and 24413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24393 and 24413. First we will calculate the prime factors of 24393 and 24413.

Prime Factorization of 24393

Prime Factorization of 24413

Now multiplying the highest exponent prime factors to calculate the LCM of 24393 and 24413.

LCM(24393,24413) = 3¹ × 47¹ × 173¹ × 24413¹
LCM(24393,24413) = 595506309