What is the Least Common Multiple of 52923 and 52943?

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 52923 and 52943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52923 and 52943, than apply into the LCM equation.

GCF(52923,52943) = 1
LCM(52923,52943) = ( 52923 × 52943) / 1
LCM(52923,52943) = 2801902389 / 1
LCM(52923,52943) = 2801902389

Least Common Multiple (LCM) of 52923 and 52943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52923 and 52943. First we will calculate the prime factors of 52923 and 52943.

Prime Factorization of 52923

Prime Factorization of 52943

Now multiplying the highest exponent prime factors to calculate the LCM of 52923 and 52943.

LCM(52923,52943) = 3¹ × 13¹ × 23¹ × 59¹ × 11¹ × 4813¹
LCM(52923,52943) = 2801902389