What is the Least Common Multiple of 28128 and 28143?

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 28128 and 28143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28128 and 28143, than apply into the LCM equation.

GCF(28128,28143) = 3
LCM(28128,28143) = ( 28128 × 28143) / 3
LCM(28128,28143) = 791606304 / 3
LCM(28128,28143) = 263868768

Least Common Multiple (LCM) of 28128 and 28143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28128 and 28143. First we will calculate the prime factors of 28128 and 28143.

Prime Factorization of 28128

Prime Factorization of 28143

Now multiplying the highest exponent prime factors to calculate the LCM of 28128 and 28143.

LCM(28128,28143) = 2⁵ × 3² × 293¹ × 53¹ × 59¹
LCM(28128,28143) = 263868768