What is the Least Common Multiple of 24378 and 24392?

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 24392 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 24392, than apply into the LCM equation.

GCF(24378,24392) = 2
LCM(24378,24392) = ( 24378 × 24392) / 2
LCM(24378,24392) = 594628176 / 2
LCM(24378,24392) = 297314088

Least Common Multiple (LCM) of 24378 and 24392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24378 and 24392. First we will calculate the prime factors of 24378 and 24392.

Prime Factorization of 24378

Prime Factorization of 24392

Now multiplying the highest exponent prime factors to calculate the LCM of 24378 and 24392.

LCM(24378,24392) = 2³ × 3¹ × 17¹ × 239¹ × 3049¹
LCM(24378,24392) = 297314088