# Least Common Multiple of 5929 and 5943

Least common multiple (LCM) of 5929 and 5943 is 5033721.

LCM(5929,5943) = 5033721

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.

LCM Calculator and

## Least Common Multiple of 5929 and 5943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5929 and 5943, than apply into the LCM equation.

GCF(5929,5943) = 7
LCM(5929,5943) = ( 5929 × 5943) / 7
LCM(5929,5943) = 35236047 / 7
LCM(5929,5943) = 5033721

## Least Common Multiple (LCM) of 5929 and 5943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5929 and 5943. First we will calculate the prime factors of 5929 and 5943.

### Prime Factorization of 5929

Prime factors of 5929 are 7, 11. Prime factorization of 5929 in exponential form is:

5929 = 72 × 112

### Prime Factorization of 5943

Prime factors of 5943 are 3, 7, 283. Prime factorization of 5943 in exponential form is:

5943 = 31 × 71 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 5929 and 5943.

LCM(5929,5943) = 72 × 112 × 31 × 2831
LCM(5929,5943) = 5033721