What is the Least Common Multiple of 52431 and 52449?

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 52431 and 52449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52431 and 52449, than apply into the LCM equation.

GCF(52431,52449) = 3
LCM(52431,52449) = ( 52431 × 52449) / 3
LCM(52431,52449) = 2749953519 / 3
LCM(52431,52449) = 916651173

Least Common Multiple (LCM) of 52431 and 52449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52431 and 52449. First we will calculate the prime factors of 52431 and 52449.

Prime Factorization of 52431

Prime Factorization of 52449

Now multiplying the highest exponent prime factors to calculate the LCM of 52431 and 52449.

LCM(52431,52449) = 3¹ × 17477¹ × 17483¹
LCM(52431,52449) = 916651173