What is the Least Common Multiple of 82389 and 82401?

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 82389 and 82401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82389 and 82401, than apply into the LCM equation.

GCF(82389,82401) = 3
LCM(82389,82401) = ( 82389 × 82401) / 3
LCM(82389,82401) = 6788935989 / 3
LCM(82389,82401) = 2262978663

Least Common Multiple (LCM) of 82389 and 82401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82389 and 82401. First we will calculate the prime factors of 82389 and 82401.

Prime Factorization of 82389

Prime Factorization of 82401

Now multiplying the highest exponent prime factors to calculate the LCM of 82389 and 82401.

LCM(82389,82401) = 3¹ × 29¹ × 947¹ × 11² × 227¹
LCM(82389,82401) = 2262978663