What is the Least Common Multiple of 82869 and 82875?

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 82869 and 82875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82869 and 82875, than apply into the LCM equation.

GCF(82869,82875) = 3
LCM(82869,82875) = ( 82869 × 82875) / 3
LCM(82869,82875) = 6867768375 / 3
LCM(82869,82875) = 2289256125

Least Common Multiple (LCM) of 82869 and 82875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82869 and 82875. First we will calculate the prime factors of 82869 and 82875.

Prime Factorization of 82869

Prime Factorization of 82875

Now multiplying the highest exponent prime factors to calculate the LCM of 82869 and 82875.

LCM(82869,82875) = 3¹ × 23¹ × 1201¹ × 5³ × 13¹ × 17¹
LCM(82869,82875) = 2289256125