What is the Least Common Multiple of 24840 and 24854?

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 24840 and 24854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24840 and 24854, than apply into the LCM equation.

GCF(24840,24854) = 2
LCM(24840,24854) = ( 24840 × 24854) / 2
LCM(24840,24854) = 617373360 / 2
LCM(24840,24854) = 308686680

Least Common Multiple (LCM) of 24840 and 24854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24840 and 24854. First we will calculate the prime factors of 24840 and 24854.

Prime Factorization of 24840

Prime Factorization of 24854

Now multiplying the highest exponent prime factors to calculate the LCM of 24840 and 24854.

LCM(24840,24854) = 2³ × 3³ × 5¹ × 23¹ × 17² × 43¹
LCM(24840,24854) = 308686680