What is the Least Common Multiple of 28768 and 28785?

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 28785 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 28785, than apply into the LCM equation.

GCF(28768,28785) = 1
LCM(28768,28785) = ( 28768 × 28785) / 1
LCM(28768,28785) = 828086880 / 1
LCM(28768,28785) = 828086880

Least Common Multiple (LCM) of 28768 and 28785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28768 and 28785. First we will calculate the prime factors of 28768 and 28785.

Prime Factorization of 28768

Prime Factorization of 28785

Now multiplying the highest exponent prime factors to calculate the LCM of 28768 and 28785.

LCM(28768,28785) = 2⁵ × 29¹ × 31¹ × 3¹ × 5¹ × 19¹ × 101¹
LCM(28768,28785) = 828086880