What is the Least Common Multiple of 20817 and 20835?

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 20817 and 20835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20817 and 20835, than apply into the LCM equation.

GCF(20817,20835) = 9
LCM(20817,20835) = ( 20817 × 20835) / 9
LCM(20817,20835) = 433722195 / 9
LCM(20817,20835) = 48191355

Least Common Multiple (LCM) of 20817 and 20835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20817 and 20835. First we will calculate the prime factors of 20817 and 20835.

Prime Factorization of 20817

Prime Factorization of 20835

Now multiplying the highest exponent prime factors to calculate the LCM of 20817 and 20835.

LCM(20817,20835) = 3⁴ × 257¹ × 5¹ × 463¹
LCM(20817,20835) = 48191355