What is the Least Common Multiple of 15921 and 15933?

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 15921 and 15933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15921 and 15933, than apply into the LCM equation.

GCF(15921,15933) = 3
LCM(15921,15933) = ( 15921 × 15933) / 3
LCM(15921,15933) = 253669293 / 3
LCM(15921,15933) = 84556431

Least Common Multiple (LCM) of 15921 and 15933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15921 and 15933. First we will calculate the prime factors of 15921 and 15933.

Prime Factorization of 15921

Prime Factorization of 15933

Now multiplying the highest exponent prime factors to calculate the LCM of 15921 and 15933.

LCM(15921,15933) = 3² × 29¹ × 61¹ × 47¹ × 113¹
LCM(15921,15933) = 84556431