What is the Least Common Multiple of 83856 and 83871?

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 83856 and 83871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83856 and 83871, than apply into the LCM equation.

GCF(83856,83871) = 3
LCM(83856,83871) = ( 83856 × 83871) / 3
LCM(83856,83871) = 7033086576 / 3
LCM(83856,83871) = 2344362192

Least Common Multiple (LCM) of 83856 and 83871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83856 and 83871. First we will calculate the prime factors of 83856 and 83871.

Prime Factorization of 83856

Prime Factorization of 83871

Now multiplying the highest exponent prime factors to calculate the LCM of 83856 and 83871.

LCM(83856,83871) = 2⁴ × 3² × 1747¹ × 9319¹
LCM(83856,83871) = 2344362192