What is the Least Common Multiple of 82491 and 82508?

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 82491 and 82508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82491 and 82508, than apply into the LCM equation.

GCF(82491,82508) = 1
LCM(82491,82508) = ( 82491 × 82508) / 1
LCM(82491,82508) = 6806167428 / 1
LCM(82491,82508) = 6806167428

Least Common Multiple (LCM) of 82491 and 82508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82491 and 82508. First we will calculate the prime factors of 82491 and 82508.

Prime Factorization of 82491

Prime Factorization of 82508

Now multiplying the highest exponent prime factors to calculate the LCM of 82491 and 82508.

LCM(82491,82508) = 3¹ × 31¹ × 887¹ × 2² × 20627¹
LCM(82491,82508) = 6806167428