What is the Least Common Multiple of 80838 and 80856?

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 80838 and 80856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80838 and 80856, than apply into the LCM equation.

GCF(80838,80856) = 18
LCM(80838,80856) = ( 80838 × 80856) / 18
LCM(80838,80856) = 6536237328 / 18
LCM(80838,80856) = 363124296

Least Common Multiple (LCM) of 80838 and 80856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80838 and 80856. First we will calculate the prime factors of 80838 and 80856.

Prime Factorization of 80838

Prime Factorization of 80856

Now multiplying the highest exponent prime factors to calculate the LCM of 80838 and 80856.

LCM(80838,80856) = 2³ × 3⁴ × 499¹ × 1123¹
LCM(80838,80856) = 363124296