What is the Least Common Multiple of 24393 and 24401?

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 24401 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 24401, than apply into the LCM equation.

GCF(24393,24401) = 1
LCM(24393,24401) = ( 24393 × 24401) / 1
LCM(24393,24401) = 595213593 / 1
LCM(24393,24401) = 595213593

Least Common Multiple (LCM) of 24393 and 24401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24393 and 24401. First we will calculate the prime factors of 24393 and 24401.

Prime Factorization of 24393

Prime Factorization of 24401

Now multiplying the highest exponent prime factors to calculate the LCM of 24393 and 24401.

LCM(24393,24401) = 3¹ × 47¹ × 173¹ × 13¹ × 1877¹
LCM(24393,24401) = 595213593