What is the Least Common Multiple of 24378 and 24389?

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 24378 and 24389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24378 and 24389, than apply into the LCM equation.

GCF(24378,24389) = 1
LCM(24378,24389) = ( 24378 × 24389) / 1
LCM(24378,24389) = 594555042 / 1
LCM(24378,24389) = 594555042

Least Common Multiple (LCM) of 24378 and 24389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24378 and 24389. First we will calculate the prime factors of 24378 and 24389.

Prime Factorization of 24378

Prime Factorization of 24389

Now multiplying the highest exponent prime factors to calculate the LCM of 24378 and 24389.

LCM(24378,24389) = 2¹ × 3¹ × 17¹ × 239¹ × 29³
LCM(24378,24389) = 594555042