What is the Least Common Multiple of 22784 and 22804?

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 22784 and 22804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22784 and 22804, than apply into the LCM equation.

GCF(22784,22804) = 4
LCM(22784,22804) = ( 22784 × 22804) / 4
LCM(22784,22804) = 519566336 / 4
LCM(22784,22804) = 129891584

Least Common Multiple (LCM) of 22784 and 22804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22784 and 22804. First we will calculate the prime factors of 22784 and 22804.

Prime Factorization of 22784

Prime Factorization of 22804

Now multiplying the highest exponent prime factors to calculate the LCM of 22784 and 22804.

LCM(22784,22804) = 2⁸ × 89¹ × 5701¹
LCM(22784,22804) = 129891584