What is the Least Common Multiple of 20519 and 20531?

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 20519 and 20531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20519 and 20531, than apply into the LCM equation.

GCF(20519,20531) = 1
LCM(20519,20531) = ( 20519 × 20531) / 1
LCM(20519,20531) = 421275589 / 1
LCM(20519,20531) = 421275589

Least Common Multiple (LCM) of 20519 and 20531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20519 and 20531. First we will calculate the prime factors of 20519 and 20531.

Prime Factorization of 20519

Prime Factorization of 20531

Now multiplying the highest exponent prime factors to calculate the LCM of 20519 and 20531.

LCM(20519,20531) = 17² × 71¹ × 7² × 419¹
LCM(20519,20531) = 421275589