Least Common Multiple of 5929 and 5934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5929 and 5934 the smallest integer that is 35182686 that is divisible by both numbers.

Least Common Multiple (LCM) of 5929 and 5934 is 35182686.

LCM(5929,5934) = 35182686

LCM of 5929 and 5934

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5929 and 5934

LCM of 5929 and 5934 is 35182686

Least common multiple can be found by multiplying the highest exponent prime factors of 5929 and 5934. First we will calculate the prime factors of 5929 and 5934.

Prime Factorization of 5929


7 5929
7 847
11 121
11 11
1

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

5929 = 72×112

Prime Factorization of 5934


2 5934
3 2967
23 989
43 43
1

Prime factors of 5934 are 2, 3, 23,43. Prime factorization of 5934 in exponential form is:

5934 = 21×31×231×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5929 and 5934.

LCM(5929,5934) = 21×31×72×112×231×431
LCM(5929,5934) = 35182686

Factors of 5929

List of positive integer factors of 5929 that divides 5929 without a remainder.

1, 7, 11, 49, 77, 121, 539, 847, 5929

Factors of 5934

List of positive integer factors of 5934 that divides 5934 without a remainder.

1, 2, 3, 6, 23, 43, 46, 69, 86, 129, 138, 258, 989, 1978, 2967, 5934

Least Common Multiple of 5929 and 5934 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 5934, than apply into the LCM equation.

GCF(5929,5934) = 1
LCM(5929,5934) = ( 5929 × 5934) / 1
LCM(5929,5934) = 35182686 / 1
LCM(5929,5934) = 35182686

Properties of LCM 5929 and 5934

(i) The LCM of 5934 and 5929 is associative

LCM of 5929 and 5934 = LCM of 5934 and 5929

Related Least Common Multiples of 5929

Related Least Common Multiples of 5934

Frequently Asked Questions on LCM of 5929 and 5934

1. What is the LCM of 5929 and 5934?

Answer: LCM of 5929 and 5934 is 35182686.

2. What are the Factors of 5929?

Answer: Factors of 5929 are 1, 7, 11, 49, 77, 121, 539, 847, 5929. There are 9 integers that are factors of 5929. The greatest factor of 5929 is 5929.

3. What are the Factors of 5934?

Answer: Factors of 5934 are 1, 2, 3, 6, 23, 43, 46, 69, 86, 129, 138, 258, 989, 1978, 2967, 5934. There are 16 integers that are factors of 5934. The greatest factor of 5934 is 5934.

4. How to Find the LCM of 5929 and 5934?

Answer:

Least Common Multiple of 5929 and 5934 = 35182686

Step 1: Find the prime factorization of 5929

5929 = 7 x 7 x 11 x 11

Step 2: Find the prime factorization of 5934

5934 = 2 x 3 x 23 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 35182686 = 2 x 3 x 7 x 7 x 11 x 11 x 23 x 43

Step 4: Therefore, the least common multiple of 5929 and 5934 is 35182686.