Least Common Multiple of 5719 and 5723
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5719 and 5723 the smallest integer that is 32729837 that is divisible by both numbers.
Least Common Multiple (LCM) of 5719 and 5723 is 32729837.
LCM(5719,5723) = 32729837
LCM of 5719 and 5723
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5719 and 5723 by Prime method
- Least Common Multiple of 5719 and 5723 with GCF Formula
LCM of 5719 and 5723 is 32729837
Least common multiple can be found by multiplying the highest exponent prime factors of 5719 and 5723. First we will calculate the prime factors of 5719 and 5723.
Prime Factorization of 5719
| 7 | 5719 |
| 19 | 817 |
| 43 | 43 |
| 1 |
Prime factors of 5719 are 7, 19,43. Prime factorization of 5719 in exponential form is:
5719 = 71×191×431
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5719 and 5723.
LCM(5719,5723) = 71×191×431×591×971
LCM(5719,5723) = 32729837
Factors of 5719
List of positive integer factors of 5719 that divides 5719 without a remainder.
1, 7, 19, 43, 133, 301, 817, 5719
Factors of 5723
List of positive integer factors of 5723 that divides 5723 without a remainder.
1, 59, 97, 5723
Least Common Multiple of 5719 and 5723 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5719 and 5723, than apply into the LCM equation.
GCF(5719,5723) = 1
LCM(5719,5723) = ( 5719 × 5723) / 1
LCM(5719,5723) = 32729837 / 1
LCM(5719,5723) = 32729837
Properties of LCM 5719 and 5723
(i) The LCM of 5723 and 5719 is associative
LCM of 5719 and 5723 = LCM of 5723 and 5719
Related Least Common Multiples of 5719
Related Least Common Multiples of 5723
Frequently Asked Questions on LCM of 5719 and 5723
1. What is the LCM of 5719 and 5723?
Answer: LCM of 5719 and 5723 is 32729837.
2. What are the Factors of 5719?
Answer: Factors of 5719 are 1, 7, 19, 43, 133, 301, 817, 5719. There are 8 integers that are factors of 5719. The greatest factor of 5719 is 5719.
3. 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.
4. How to Find the LCM of 5719 and 5723?
Answer:
Least Common Multiple of 5719 and 5723 = 32729837
Step 1: Find the prime factorization of 5719
5719 = 7 x 19 x 43
Step 2: Find the prime factorization of 5723
5723 = 59 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32729837 = 7 x 19 x 43 x 59 x 97
Step 4: Therefore, the least common multiple of 5719 and 5723 is 32729837.