What is the Least Common Multiple of 28768 and 28772?

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 28768 and 28772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28768 and 28772, than apply into the LCM equation.

GCF(28768,28772) = 4
LCM(28768,28772) = ( 28768 × 28772) / 4
LCM(28768,28772) = 827712896 / 4
LCM(28768,28772) = 206928224

Least Common Multiple (LCM) of 28768 and 28772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28768 and 28772. First we will calculate the prime factors of 28768 and 28772.

Prime Factorization of 28768

Prime Factorization of 28772

Now multiplying the highest exponent prime factors to calculate the LCM of 28768 and 28772.

LCM(28768,28772) = 2⁵ × 29¹ × 31¹ × 7193¹
LCM(28768,28772) = 206928224