What is the Least Common Multiple of 20819 and 20831?

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 20819 and 20831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20819 and 20831, than apply into the LCM equation.

GCF(20819,20831) = 1
LCM(20819,20831) = ( 20819 × 20831) / 1
LCM(20819,20831) = 433680589 / 1
LCM(20819,20831) = 433680589

Least Common Multiple (LCM) of 20819 and 20831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20819 and 20831. First we will calculate the prime factors of 20819 and 20831.

Prime Factorization of 20819

Prime Factorization of 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 20819 and 20831.

LCM(20819,20831) = 109¹ × 191¹ × 37¹ × 563¹
LCM(20819,20831) = 433680589