What is the Least Common Multiple of 82805 and 82823?

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 82805 and 82823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82805 and 82823, than apply into the LCM equation.

GCF(82805,82823) = 1
LCM(82805,82823) = ( 82805 × 82823) / 1
LCM(82805,82823) = 6858158515 / 1
LCM(82805,82823) = 6858158515

Least Common Multiple (LCM) of 82805 and 82823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82805 and 82823. First we will calculate the prime factors of 82805 and 82823.

Prime Factorization of 82805

Prime Factorization of 82823

Now multiplying the highest exponent prime factors to calculate the LCM of 82805 and 82823.

LCM(82805,82823) = 5¹ × 16561¹ × 13¹ × 23¹ × 277¹
LCM(82805,82823) = 6858158515