What is the Least Common Multiple of 82823 and 82835?

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 82823 and 82835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82823 and 82835, than apply into the LCM equation.

GCF(82823,82835) = 1
LCM(82823,82835) = ( 82823 × 82835) / 1
LCM(82823,82835) = 6860643205 / 1
LCM(82823,82835) = 6860643205

Least Common Multiple (LCM) of 82823 and 82835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82823 and 82835. First we will calculate the prime factors of 82823 and 82835.

Prime Factorization of 82823

Prime Factorization of 82835

Now multiplying the highest exponent prime factors to calculate the LCM of 82823 and 82835.

LCM(82823,82835) = 13¹ × 23¹ × 277¹ × 5¹ × 16567¹
LCM(82823,82835) = 6860643205