What is the Least Common Multiple of 28784 and 28799?

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 28784 and 28799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28784 and 28799, than apply into the LCM equation.

GCF(28784,28799) = 1
LCM(28784,28799) = ( 28784 × 28799) / 1
LCM(28784,28799) = 828950416 / 1
LCM(28784,28799) = 828950416

Least Common Multiple (LCM) of 28784 and 28799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28784 and 28799. First we will calculate the prime factors of 28784 and 28799.

Prime Factorization of 28784

Prime Factorization of 28799

Now multiplying the highest exponent prime factors to calculate the LCM of 28784 and 28799.

LCM(28784,28799) = 2⁴ × 7¹ × 257¹ × 31¹ × 929¹
LCM(28784,28799) = 828950416