What is the Least Common Multiple of 66584 and 66592?

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 66584 and 66592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66584 and 66592, than apply into the LCM equation.

GCF(66584,66592) = 8
LCM(66584,66592) = ( 66584 × 66592) / 8
LCM(66584,66592) = 4433961728 / 8
LCM(66584,66592) = 554245216

Least Common Multiple (LCM) of 66584 and 66592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66584 and 66592. First we will calculate the prime factors of 66584 and 66592.

Prime Factorization of 66584

Prime Factorization of 66592

Now multiplying the highest exponent prime factors to calculate the LCM of 66584 and 66592.

LCM(66584,66592) = 2⁵ × 7¹ × 29¹ × 41¹ × 2081¹
LCM(66584,66592) = 554245216