What is the Least Common Multiple of 24378 and 24395?

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 24395 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 24395, than apply into the LCM equation.

GCF(24378,24395) = 17
LCM(24378,24395) = ( 24378 × 24395) / 17
LCM(24378,24395) = 594701310 / 17
LCM(24378,24395) = 34982430

Least Common Multiple (LCM) of 24378 and 24395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24378 and 24395. First we will calculate the prime factors of 24378 and 24395.

Prime Factorization of 24378

Prime Factorization of 24395

Now multiplying the highest exponent prime factors to calculate the LCM of 24378 and 24395.

LCM(24378,24395) = 2¹ × 3¹ × 17¹ × 239¹ × 5¹ × 7¹ × 41¹
LCM(24378,24395) = 34982430