What is the Least Common Multiple of 53823 and 53829?

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 53823 and 53829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53823 and 53829, than apply into the LCM equation.

GCF(53823,53829) = 3
LCM(53823,53829) = ( 53823 × 53829) / 3
LCM(53823,53829) = 2897238267 / 3
LCM(53823,53829) = 965746089

Least Common Multiple (LCM) of 53823 and 53829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53823 and 53829. First we will calculate the prime factors of 53823 and 53829.

Prime Factorization of 53823

Prime Factorization of 53829

Now multiplying the highest exponent prime factors to calculate the LCM of 53823 and 53829.

LCM(53823,53829) = 3² × 7¹ × 11¹ × 233¹ × 5981¹
LCM(53823,53829) = 965746089