What is the Least Common Multiple of 26395 and 26405?

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 26395 and 26405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26395 and 26405, than apply into the LCM equation.

GCF(26395,26405) = 5
LCM(26395,26405) = ( 26395 × 26405) / 5
LCM(26395,26405) = 696959975 / 5
LCM(26395,26405) = 139391995

Least Common Multiple (LCM) of 26395 and 26405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26395 and 26405. First we will calculate the prime factors of 26395 and 26405.

Prime Factorization of 26395

Prime Factorization of 26405

Now multiplying the highest exponent prime factors to calculate the LCM of 26395 and 26405.

LCM(26395,26405) = 5¹ × 5279¹ × 5281¹
LCM(26395,26405) = 139391995