What is the Least Common Multiple of 82905 and 82917?

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 82905 and 82917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82905 and 82917, than apply into the LCM equation.

GCF(82905,82917) = 3
LCM(82905,82917) = ( 82905 × 82917) / 3
LCM(82905,82917) = 6874233885 / 3
LCM(82905,82917) = 2291411295

Least Common Multiple (LCM) of 82905 and 82917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82905 and 82917. First we will calculate the prime factors of 82905 and 82917.

Prime Factorization of 82905

Prime Factorization of 82917

Now multiplying the highest exponent prime factors to calculate the LCM of 82905 and 82917.

LCM(82905,82917) = 3³ × 5¹ × 5527¹ × 37¹ × 83¹
LCM(82905,82917) = 2291411295