What is the Least Common Multiple of 20505 and 20509?

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 20505 and 20509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20505 and 20509, than apply into the LCM equation.

GCF(20505,20509) = 1
LCM(20505,20509) = ( 20505 × 20509) / 1
LCM(20505,20509) = 420537045 / 1
LCM(20505,20509) = 420537045

Least Common Multiple (LCM) of 20505 and 20509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20505 and 20509. First we will calculate the prime factors of 20505 and 20509.

Prime Factorization of 20505

Prime Factorization of 20509

Now multiplying the highest exponent prime factors to calculate the LCM of 20505 and 20509.

LCM(20505,20509) = 3¹ × 5¹ × 1367¹ × 20509¹
LCM(20505,20509) = 420537045