What is the Least Common Multiple of 20585 and 20596?

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 20585 and 20596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20585 and 20596, than apply into the LCM equation.

GCF(20585,20596) = 1
LCM(20585,20596) = ( 20585 × 20596) / 1
LCM(20585,20596) = 423968660 / 1
LCM(20585,20596) = 423968660

Least Common Multiple (LCM) of 20585 and 20596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20585 and 20596. First we will calculate the prime factors of 20585 and 20596.

Prime Factorization of 20585

Prime Factorization of 20596

Now multiplying the highest exponent prime factors to calculate the LCM of 20585 and 20596.

LCM(20585,20596) = 5¹ × 23¹ × 179¹ × 2² × 19¹ × 271¹
LCM(20585,20596) = 423968660