What is the Least Common Multiple of 28854 and 28864?

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 28854 and 28864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28854 and 28864, than apply into the LCM equation.

GCF(28854,28864) = 2
LCM(28854,28864) = ( 28854 × 28864) / 2
LCM(28854,28864) = 832841856 / 2
LCM(28854,28864) = 416420928

Least Common Multiple (LCM) of 28854 and 28864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28854 and 28864. First we will calculate the prime factors of 28854 and 28864.

Prime Factorization of 28854

Prime Factorization of 28864

Now multiplying the highest exponent prime factors to calculate the LCM of 28854 and 28864.

LCM(28854,28864) = 2⁶ × 3² × 7¹ × 229¹ × 11¹ × 41¹
LCM(28854,28864) = 416420928