What is the Least Common Multiple of 17823 and 17835?

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 17823 and 17835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17823 and 17835, than apply into the LCM equation.

GCF(17823,17835) = 3
LCM(17823,17835) = ( 17823 × 17835) / 3
LCM(17823,17835) = 317873205 / 3
LCM(17823,17835) = 105957735

Least Common Multiple (LCM) of 17823 and 17835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17823 and 17835. First we will calculate the prime factors of 17823 and 17835.

Prime Factorization of 17823

Prime Factorization of 17835

Now multiplying the highest exponent prime factors to calculate the LCM of 17823 and 17835.

LCM(17823,17835) = 3¹ × 13¹ × 457¹ × 5¹ × 29¹ × 41¹
LCM(17823,17835) = 105957735