What is the Least Common Multiple of 82848 and 82857?

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 82848 and 82857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82848 and 82857, than apply into the LCM equation.

GCF(82848,82857) = 3
LCM(82848,82857) = ( 82848 × 82857) / 3
LCM(82848,82857) = 6864536736 / 3
LCM(82848,82857) = 2288178912

Least Common Multiple (LCM) of 82848 and 82857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82848 and 82857. First we will calculate the prime factors of 82848 and 82857.

Prime Factorization of 82848

Prime Factorization of 82857

Now multiplying the highest exponent prime factors to calculate the LCM of 82848 and 82857.

LCM(82848,82857) = 2⁵ × 3¹ × 863¹ × 71¹ × 389¹
LCM(82848,82857) = 2288178912