What is the Least Common Multiple of 80586 and 80592?

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 80586 and 80592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80586 and 80592, than apply into the LCM equation.

GCF(80586,80592) = 6
LCM(80586,80592) = ( 80586 × 80592) / 6
LCM(80586,80592) = 6494586912 / 6
LCM(80586,80592) = 1082431152

Least Common Multiple (LCM) of 80586 and 80592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80586 and 80592. First we will calculate the prime factors of 80586 and 80592.

Prime Factorization of 80586

Prime Factorization of 80592

Now multiplying the highest exponent prime factors to calculate the LCM of 80586 and 80592.

LCM(80586,80592) = 2⁴ × 3² × 11² × 37¹ × 23¹ × 73¹
LCM(80586,80592) = 1082431152