Least Common Multiple of 5929 and 5933
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 5933 the smallest integer that is 35176757 that is divisible by both numbers.
Least Common Multiple (LCM) of 5929 and 5933 is 35176757.
LCM(5929,5933) = 35176757
LCM of 5929 and 5933
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5929 and 5933 by Prime method
- Least Common Multiple of 5929 and 5933 with GCF Formula
LCM of 5929 and 5933 is 35176757
Least common multiple can be found by multiplying the highest exponent prime factors of 5929 and 5933. First we will calculate the prime factors of 5929 and 5933.
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 5933
| 17 | 5933 |
| 349 | 349 |
| 1 |
Prime factors of 5933 are 17,349. Prime factorization of 5933 in exponential form is:
5933 = 171×3491
Now multiplying the highest exponent prime factors to calculate the LCM of 5929 and 5933.
LCM(5929,5933) = 72×112×171×3491
LCM(5929,5933) = 35176757
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 5933
List of positive integer factors of 5933 that divides 5933 without a remainder.
1, 17, 349, 5933
Least Common Multiple of 5929 and 5933 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 5933, than apply into the LCM equation.
GCF(5929,5933) = 1
LCM(5929,5933) = ( 5929 × 5933) / 1
LCM(5929,5933) = 35176757 / 1
LCM(5929,5933) = 35176757
Properties of LCM 5929 and 5933
(i) The LCM of 5933 and 5929 is associative
LCM of 5929 and 5933 = LCM of 5933 and 5929
Related Least Common Multiples of 5929
Related Least Common Multiples of 5933
Frequently Asked Questions on LCM of 5929 and 5933
1. What is the LCM of 5929 and 5933?
Answer: LCM of 5929 and 5933 is 35176757.
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 5933?
Answer: Factors of 5933 are 1, 17, 349, 5933. There are 4 integers that are factors of 5933. The greatest factor of 5933 is 5933.
4. How to Find the LCM of 5929 and 5933?
Answer:
Least Common Multiple of 5929 and 5933 = 35176757
Step 1: Find the prime factorization of 5929
5929 = 7 x 7 x 11 x 11
Step 2: Find the prime factorization of 5933
5933 = 17 x 349
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35176757 = 7 x 7 x 11 x 11 x 17 x 349
Step 4: Therefore, the least common multiple of 5929 and 5933 is 35176757.