What is the Least Common Multiple of 82848 and 82863?

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 82863 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 82863, than apply into the LCM equation.

GCF(82848,82863) = 3
LCM(82848,82863) = ( 82848 × 82863) / 3
LCM(82848,82863) = 6865033824 / 3
LCM(82848,82863) = 2288344608

Least Common Multiple (LCM) of 82848 and 82863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82848 and 82863. First we will calculate the prime factors of 82848 and 82863.

Prime Factorization of 82848

Prime Factorization of 82863

Now multiplying the highest exponent prime factors to calculate the LCM of 82848 and 82863.

LCM(82848,82863) = 2⁵ × 3⁵ × 863¹ × 11¹ × 31¹
LCM(82848,82863) = 2288344608