What is the Least Common Multiple of 82899 and 82905?

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 82899 and 82905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82899 and 82905, than apply into the LCM equation.

GCF(82899,82905) = 3
LCM(82899,82905) = ( 82899 × 82905) / 3
LCM(82899,82905) = 6872741595 / 3
LCM(82899,82905) = 2290913865

Least Common Multiple (LCM) of 82899 and 82905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82899 and 82905. First we will calculate the prime factors of 82899 and 82905.

Prime Factorization of 82899

Prime Factorization of 82905

Now multiplying the highest exponent prime factors to calculate the LCM of 82899 and 82905.

LCM(82899,82905) = 3² × 61¹ × 151¹ × 5¹ × 5527¹
LCM(82899,82905) = 2290913865