What is the Least Common Multiple of 81385 and 81401?

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 81385 and 81401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81385 and 81401, than apply into the LCM equation.

GCF(81385,81401) = 1
LCM(81385,81401) = ( 81385 × 81401) / 1
LCM(81385,81401) = 6624820385 / 1
LCM(81385,81401) = 6624820385

Least Common Multiple (LCM) of 81385 and 81401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81385 and 81401. First we will calculate the prime factors of 81385 and 81401.

Prime Factorization of 81385

Prime Factorization of 81401

Now multiplying the highest exponent prime factors to calculate the LCM of 81385 and 81401.

LCM(81385,81401) = 5¹ × 41¹ × 397¹ × 81401¹
LCM(81385,81401) = 6624820385