What is the Least Common Multiple of 82790 and 82805?

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 82790 and 82805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82790 and 82805, than apply into the LCM equation.

GCF(82790,82805) = 5
LCM(82790,82805) = ( 82790 × 82805) / 5
LCM(82790,82805) = 6855425950 / 5
LCM(82790,82805) = 1371085190

Least Common Multiple (LCM) of 82790 and 82805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82790 and 82805. First we will calculate the prime factors of 82790 and 82805.

Prime Factorization of 82790

Prime Factorization of 82805

Now multiplying the highest exponent prime factors to calculate the LCM of 82790 and 82805.

LCM(82790,82805) = 2¹ × 5¹ × 17¹ × 487¹ × 16561¹
LCM(82790,82805) = 1371085190