What is the Least Common Multiple of 28864 and 28871?

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 28864 and 28871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28864 and 28871, than apply into the LCM equation.

GCF(28864,28871) = 1
LCM(28864,28871) = ( 28864 × 28871) / 1
LCM(28864,28871) = 833332544 / 1
LCM(28864,28871) = 833332544

Least Common Multiple (LCM) of 28864 and 28871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28864 and 28871. First we will calculate the prime factors of 28864 and 28871.

Prime Factorization of 28864

Prime Factorization of 28871

Now multiplying the highest exponent prime factors to calculate the LCM of 28864 and 28871.

LCM(28864,28871) = 2⁶ × 11¹ × 41¹ × 28871¹
LCM(28864,28871) = 833332544