What is the Least Common Multiple of 28864 and 28874?

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 28874 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 28874, than apply into the LCM equation.

GCF(28864,28874) = 2
LCM(28864,28874) = ( 28864 × 28874) / 2
LCM(28864,28874) = 833419136 / 2
LCM(28864,28874) = 416709568

Least Common Multiple (LCM) of 28864 and 28874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28864 and 28874. First we will calculate the prime factors of 28864 and 28874.

Prime Factorization of 28864

Prime Factorization of 28874

Now multiplying the highest exponent prime factors to calculate the LCM of 28864 and 28874.

LCM(28864,28874) = 2⁶ × 11¹ × 41¹ × 14437¹
LCM(28864,28874) = 416709568