What is the Least Common Multiple of 24800 and 24817?

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 24800 and 24817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24800 and 24817, than apply into the LCM equation.

GCF(24800,24817) = 1
LCM(24800,24817) = ( 24800 × 24817) / 1
LCM(24800,24817) = 615461600 / 1
LCM(24800,24817) = 615461600

Least Common Multiple (LCM) of 24800 and 24817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24800 and 24817. First we will calculate the prime factors of 24800 and 24817.

Prime Factorization of 24800

Prime Factorization of 24817

Now multiplying the highest exponent prime factors to calculate the LCM of 24800 and 24817.

LCM(24800,24817) = 2⁵ × 5² × 31¹ × 13¹ × 23¹ × 83¹
LCM(24800,24817) = 615461600