What is the Least Common Multiple of 28800 and 28804?

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 28800 and 28804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28800 and 28804, than apply into the LCM equation.

GCF(28800,28804) = 4
LCM(28800,28804) = ( 28800 × 28804) / 4
LCM(28800,28804) = 829555200 / 4
LCM(28800,28804) = 207388800

Least Common Multiple (LCM) of 28800 and 28804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28800 and 28804. First we will calculate the prime factors of 28800 and 28804.

Prime Factorization of 28800

Prime Factorization of 28804

Now multiplying the highest exponent prime factors to calculate the LCM of 28800 and 28804.

LCM(28800,28804) = 2⁷ × 3² × 5² × 19¹ × 379¹
LCM(28800,28804) = 207388800