What is the Least Common Multiple of 24854 and 24862?

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 24854 and 24862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24854 and 24862, than apply into the LCM equation.

GCF(24854,24862) = 2
LCM(24854,24862) = ( 24854 × 24862) / 2
LCM(24854,24862) = 617920148 / 2
LCM(24854,24862) = 308960074

Least Common Multiple (LCM) of 24854 and 24862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24854 and 24862. First we will calculate the prime factors of 24854 and 24862.

Prime Factorization of 24854

Prime Factorization of 24862

Now multiplying the highest exponent prime factors to calculate the LCM of 24854 and 24862.

LCM(24854,24862) = 2¹ × 17² × 43¹ × 31¹ × 401¹
LCM(24854,24862) = 308960074