What is the Least Common Multiple of 20586 and 20605?

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 20586 and 20605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20586 and 20605, than apply into the LCM equation.

GCF(20586,20605) = 1
LCM(20586,20605) = ( 20586 × 20605) / 1
LCM(20586,20605) = 424174530 / 1
LCM(20586,20605) = 424174530

Least Common Multiple (LCM) of 20586 and 20605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20586 and 20605. First we will calculate the prime factors of 20586 and 20605.

Prime Factorization of 20586

Prime Factorization of 20605

Now multiplying the highest exponent prime factors to calculate the LCM of 20586 and 20605.

LCM(20586,20605) = 2¹ × 3¹ × 47¹ × 73¹ × 5¹ × 13¹ × 317¹
LCM(20586,20605) = 424174530