What is the Least Common Multiple of 24800 and 24804?

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 24804 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 24804, than apply into the LCM equation.

GCF(24800,24804) = 4
LCM(24800,24804) = ( 24800 × 24804) / 4
LCM(24800,24804) = 615139200 / 4
LCM(24800,24804) = 153784800

Least Common Multiple (LCM) of 24800 and 24804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24800 and 24804. First we will calculate the prime factors of 24800 and 24804.

Prime Factorization of 24800

Prime Factorization of 24804

Now multiplying the highest exponent prime factors to calculate the LCM of 24800 and 24804.

LCM(24800,24804) = 2⁵ × 5² × 31¹ × 3² × 13¹ × 53¹
LCM(24800,24804) = 153784800