Least Common Multiple of 5921 and 5929
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5921 and 5929 the smallest integer that is 35105609 that is divisible by both numbers.
Least Common Multiple (LCM) of 5921 and 5929 is 35105609.
LCM(5921,5929) = 35105609
LCM of 5921 and 5929
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5921 and 5929 by Prime method
- Least Common Multiple of 5921 and 5929 with GCF Formula
LCM of 5921 and 5929 is 35105609
Least common multiple can be found by multiplying the highest exponent prime factors of 5921 and 5929. First we will calculate the prime factors of 5921 and 5929.
Prime Factorization of 5921
| 31 | 5921 |
| 191 | 191 |
| 1 |
Prime factors of 5921 are 31,191. Prime factorization of 5921 in exponential form is:
5921 = 311×1911
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5921 and 5929.
LCM(5921,5929) = 72×112×311×1911
LCM(5921,5929) = 35105609
Factors of 5921
List of positive integer factors of 5921 that divides 5921 without a remainder.
1, 31, 191, 5921
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
Least Common Multiple of 5921 and 5929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5921 and 5929, than apply into the LCM equation.
GCF(5921,5929) = 1
LCM(5921,5929) = ( 5921 × 5929) / 1
LCM(5921,5929) = 35105609 / 1
LCM(5921,5929) = 35105609
Properties of LCM 5921 and 5929
(i) The LCM of 5929 and 5921 is associative
LCM of 5921 and 5929 = LCM of 5929 and 5921
Related Least Common Multiples of 5921
Related Least Common Multiples of 5929
Frequently Asked Questions on LCM of 5921 and 5929
1. What is the LCM of 5921 and 5929?
Answer: LCM of 5921 and 5929 is 35105609.
2. What are the Factors of 5921?
Answer: Factors of 5921 are 1, 31, 191, 5921. There are 4 integers that are factors of 5921. The greatest factor of 5921 is 5921.
3. 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.
4. How to Find the LCM of 5921 and 5929?
Answer:
Least Common Multiple of 5921 and 5929 = 35105609
Step 1: Find the prime factorization of 5921
5921 = 31 x 191
Step 2: Find the prime factorization of 5929
5929 = 7 x 7 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35105609 = 7 x 7 x 11 x 11 x 31 x 191
Step 4: Therefore, the least common multiple of 5921 and 5929 is 35105609.