What is the Least Common Multiple of 81338 and 81344?

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 81338 and 81344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81338 and 81344, than apply into the LCM equation.

GCF(81338,81344) = 2
LCM(81338,81344) = ( 81338 × 81344) / 2
LCM(81338,81344) = 6616358272 / 2
LCM(81338,81344) = 3308179136

Least Common Multiple (LCM) of 81338 and 81344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81338 and 81344. First we will calculate the prime factors of 81338 and 81344.

Prime Factorization of 81338

Prime Factorization of 81344

Now multiplying the highest exponent prime factors to calculate the LCM of 81338 and 81344.

LCM(81338,81344) = 2⁶ × 67¹ × 607¹ × 31¹ × 41¹
LCM(81338,81344) = 3308179136