Least Common Multiple of 5723 and 5729
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5723 and 5729 the smallest integer that is 32787067 that is divisible by both numbers.
Least Common Multiple (LCM) of 5723 and 5729 is 32787067.
LCM(5723,5729) = 32787067
LCM of 5723 and 5729
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5723 and 5729 by Prime method
- Least Common Multiple of 5723 and 5729 with GCF Formula
LCM of 5723 and 5729 is 32787067
Least common multiple can be found by multiplying the highest exponent prime factors of 5723 and 5729. First we will calculate the prime factors of 5723 and 5729.
Prime Factorization of 5723
| 59 | 5723 |
| 97 | 97 |
| 1 |
Prime factors of 5723 are 59,97. Prime factorization of 5723 in exponential form is:
5723 = 591×971
Prime Factorization of 5729
| 17 | 5729 |
| 337 | 337 |
| 1 |
Prime factors of 5729 are 17,337. Prime factorization of 5729 in exponential form is:
5729 = 171×3371
Now multiplying the highest exponent prime factors to calculate the LCM of 5723 and 5729.
LCM(5723,5729) = 171×591×971×3371
LCM(5723,5729) = 32787067
Factors of 5723
List of positive integer factors of 5723 that divides 5723 without a remainder.
1, 59, 97, 5723
Factors of 5729
List of positive integer factors of 5729 that divides 5729 without a remainder.
1, 17, 337, 5729
Least Common Multiple of 5723 and 5729 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5723 and 5729, than apply into the LCM equation.
GCF(5723,5729) = 1
LCM(5723,5729) = ( 5723 × 5729) / 1
LCM(5723,5729) = 32787067 / 1
LCM(5723,5729) = 32787067
Properties of LCM 5723 and 5729
(i) The LCM of 5729 and 5723 is associative
LCM of 5723 and 5729 = LCM of 5729 and 5723
Related Least Common Multiples of 5723
Related Least Common Multiples of 5729
Frequently Asked Questions on LCM of 5723 and 5729
1. What is the LCM of 5723 and 5729?
Answer: LCM of 5723 and 5729 is 32787067.
2. What are the Factors of 5723?
Answer: Factors of 5723 are 1, 59, 97, 5723. There are 4 integers that are factors of 5723. The greatest factor of 5723 is 5723.
3. What are the Factors of 5729?
Answer: Factors of 5729 are 1, 17, 337, 5729. There are 4 integers that are factors of 5729. The greatest factor of 5729 is 5729.
4. How to Find the LCM of 5723 and 5729?
Answer:
Least Common Multiple of 5723 and 5729 = 32787067
Step 1: Find the prime factorization of 5723
5723 = 59 x 97
Step 2: Find the prime factorization of 5729
5729 = 17 x 337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32787067 = 17 x 59 x 97 x 337
Step 4: Therefore, the least common multiple of 5723 and 5729 is 32787067.