What is the Least Common Multiple of 20576 and 20585?

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 20576 and 20585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20576 and 20585, than apply into the LCM equation.

GCF(20576,20585) = 1
LCM(20576,20585) = ( 20576 × 20585) / 1
LCM(20576,20585) = 423556960 / 1
LCM(20576,20585) = 423556960

Least Common Multiple (LCM) of 20576 and 20585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20576 and 20585. First we will calculate the prime factors of 20576 and 20585.

Prime Factorization of 20576

Prime Factorization of 20585

Now multiplying the highest exponent prime factors to calculate the LCM of 20576 and 20585.

LCM(20576,20585) = 2⁵ × 643¹ × 5¹ × 23¹ × 179¹
LCM(20576,20585) = 423556960