What is the Least Common Multiple of 82401 and 82405?

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 82401 and 82405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82401 and 82405, than apply into the LCM equation.

GCF(82401,82405) = 1
LCM(82401,82405) = ( 82401 × 82405) / 1
LCM(82401,82405) = 6790254405 / 1
LCM(82401,82405) = 6790254405

Least Common Multiple (LCM) of 82401 and 82405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82401 and 82405. First we will calculate the prime factors of 82401 and 82405.

Prime Factorization of 82401

Prime Factorization of 82405

Now multiplying the highest exponent prime factors to calculate the LCM of 82401 and 82405.

LCM(82401,82405) = 3¹ × 11² × 227¹ × 5¹ × 16481¹
LCM(82401,82405) = 6790254405