What is the Least Common Multiple of 82064 and 82081?

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 82064 and 82081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82064 and 82081, than apply into the LCM equation.

GCF(82064,82081) = 1
LCM(82064,82081) = ( 82064 × 82081) / 1
LCM(82064,82081) = 6735895184 / 1
LCM(82064,82081) = 6735895184

Least Common Multiple (LCM) of 82064 and 82081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82064 and 82081. First we will calculate the prime factors of 82064 and 82081.

Prime Factorization of 82064

Prime Factorization of 82081

Now multiplying the highest exponent prime factors to calculate the LCM of 82064 and 82081.

LCM(82064,82081) = 2⁴ × 23¹ × 223¹ × 79¹ × 1039¹
LCM(82064,82081) = 6735895184