What is the Least Common Multiple of 82064 and 82073?

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 82073 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 82073, than apply into the LCM equation.

GCF(82064,82073) = 1
LCM(82064,82073) = ( 82064 × 82073) / 1
LCM(82064,82073) = 6735238672 / 1
LCM(82064,82073) = 6735238672

Least Common Multiple (LCM) of 82064 and 82073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82064 and 82073. First we will calculate the prime factors of 82064 and 82073.

Prime Factorization of 82064

Prime Factorization of 82073

Now multiplying the highest exponent prime factors to calculate the LCM of 82064 and 82073.

LCM(82064,82073) = 2⁴ × 23¹ × 223¹ × 82073¹
LCM(82064,82073) = 6735238672