What is the Least Common Multiple of 20605 and 20609?

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 20605 and 20609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20605 and 20609, than apply into the LCM equation.

GCF(20605,20609) = 1
LCM(20605,20609) = ( 20605 × 20609) / 1
LCM(20605,20609) = 424648445 / 1
LCM(20605,20609) = 424648445

Least Common Multiple (LCM) of 20605 and 20609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20605 and 20609. First we will calculate the prime factors of 20605 and 20609.

Prime Factorization of 20605

Prime Factorization of 20609

Now multiplying the highest exponent prime factors to calculate the LCM of 20605 and 20609.

LCM(20605,20609) = 5¹ × 13¹ × 317¹ × 37¹ × 557¹
LCM(20605,20609) = 424648445