Least Common Multiple of 5723 and 5727
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 5727 the smallest integer that is 32775621 that is divisible by both numbers.
Least Common Multiple (LCM) of 5723 and 5727 is 32775621.
LCM(5723,5727) = 32775621
LCM of 5723 and 5727
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5723 and 5727 by Prime method
- Least Common Multiple of 5723 and 5727 with GCF Formula
LCM of 5723 and 5727 is 32775621
Least common multiple can be found by multiplying the highest exponent prime factors of 5723 and 5727. First we will calculate the prime factors of 5723 and 5727.
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 5727
| 3 | 5727 |
| 23 | 1909 |
| 83 | 83 |
| 1 |
Prime factors of 5727 are 3, 23,83. Prime factorization of 5727 in exponential form is:
5727 = 31×231×831
Now multiplying the highest exponent prime factors to calculate the LCM of 5723 and 5727.
LCM(5723,5727) = 31×231×591×831×971
LCM(5723,5727) = 32775621
Factors of 5723
List of positive integer factors of 5723 that divides 5723 without a remainder.
1, 59, 97, 5723
Factors of 5727
List of positive integer factors of 5727 that divides 5727 without a remainder.
1, 3, 23, 69, 83, 249, 1909, 5727
Least Common Multiple of 5723 and 5727 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 5727, than apply into the LCM equation.
GCF(5723,5727) = 1
LCM(5723,5727) = ( 5723 × 5727) / 1
LCM(5723,5727) = 32775621 / 1
LCM(5723,5727) = 32775621
Properties of LCM 5723 and 5727
(i) The LCM of 5727 and 5723 is associative
LCM of 5723 and 5727 = LCM of 5727 and 5723
Related Least Common Multiples of 5723
Related Least Common Multiples of 5727
Frequently Asked Questions on LCM of 5723 and 5727
1. What is the LCM of 5723 and 5727?
Answer: LCM of 5723 and 5727 is 32775621.
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 5727?
Answer: Factors of 5727 are 1, 3, 23, 69, 83, 249, 1909, 5727. There are 8 integers that are factors of 5727. The greatest factor of 5727 is 5727.
4. How to Find the LCM of 5723 and 5727?
Answer:
Least Common Multiple of 5723 and 5727 = 32775621
Step 1: Find the prime factorization of 5723
5723 = 59 x 97
Step 2: Find the prime factorization of 5727
5727 = 3 x 23 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32775621 = 3 x 23 x 59 x 83 x 97
Step 4: Therefore, the least common multiple of 5723 and 5727 is 32775621.