What is the Least Common Multiple of 8856 and 8874?

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 8856 and 8874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8856 and 8874, than apply into the LCM equation.

GCF(8856,8874) = 18
LCM(8856,8874) = ( 8856 × 8874) / 18
LCM(8856,8874) = 78588144 / 18
LCM(8856,8874) = 4366008

Least Common Multiple (LCM) of 8856 and 8874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8856 and 8874. First we will calculate the prime factors of 8856 and 8874.

Prime Factorization of 8856

Prime Factorization of 8874

Now multiplying the highest exponent prime factors to calculate the LCM of 8856 and 8874.

LCM(8856,8874) = 2³ × 3³ × 41¹ × 17¹ × 29¹
LCM(8856,8874) = 4366008