What is the Least Common Multiple of 78848 and 78856?

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 78848 and 78856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78848 and 78856, than apply into the LCM equation.

GCF(78848,78856) = 8
LCM(78848,78856) = ( 78848 × 78856) / 8
LCM(78848,78856) = 6217637888 / 8
LCM(78848,78856) = 777204736

Least Common Multiple (LCM) of 78848 and 78856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78848 and 78856. First we will calculate the prime factors of 78848 and 78856.

Prime Factorization of 78848

Prime Factorization of 78856

Now multiplying the highest exponent prime factors to calculate the LCM of 78848 and 78856.

LCM(78848,78856) = 2¹⁰ × 7¹ × 11¹ × 9857¹
LCM(78848,78856) = 777204736