Least Common Multiple of 5715 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 5715 and 5723 the smallest integer that is 32706945 that is divisible by both numbers.
Least Common Multiple (LCM) of 5715 and 5723 is 32706945.
LCM(5715,5723) = 32706945
LCM of 5715 and 5723
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5715 and 5723 by Prime method
- Least Common Multiple of 5715 and 5723 with GCF Formula
LCM of 5715 and 5723 is 32706945
Least common multiple can be found by multiplying the highest exponent prime factors of 5715 and 5723. First we will calculate the prime factors of 5715 and 5723.
Prime Factorization of 5715
| 3 | 5715 |
| 3 | 1905 |
| 5 | 635 |
| 127 | 127 |
| 1 |
Prime factors of 5715 are 3, 5,127. Prime factorization of 5715 in exponential form is:
5715 = 32×51×1271
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 5715 and 5723.
LCM(5715,5723) = 32×51×591×971×1271
LCM(5715,5723) = 32706945
Factors of 5715
List of positive integer factors of 5715 that divides 5715 without a remainder.
1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715
Factors of 5723
List of positive integer factors of 5723 that divides 5723 without a remainder.
1, 59, 97, 5723
Least Common Multiple of 5715 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 5715 and 5723, than apply into the LCM equation.
GCF(5715,5723) = 1
LCM(5715,5723) = ( 5715 × 5723) / 1
LCM(5715,5723) = 32706945 / 1
LCM(5715,5723) = 32706945
Properties of LCM 5715 and 5723
(i) The LCM of 5723 and 5715 is associative
LCM of 5715 and 5723 = LCM of 5723 and 5715
Related Least Common Multiples of 5715
Related Least Common Multiples of 5723
Frequently Asked Questions on LCM of 5715 and 5723
1. What is the LCM of 5715 and 5723?
Answer: LCM of 5715 and 5723 is 32706945.
2. What are the Factors of 5715?
Answer: Factors of 5715 are 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715. There are 12 integers that are factors of 5715. The greatest factor of 5715 is 5715.
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 5715 and 5723?
Answer:
Least Common Multiple of 5715 and 5723 = 32706945
Step 1: Find the prime factorization of 5715
5715 = 3 x 3 x 5 x 127
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 = 32706945 = 3 x 3 x 5 x 59 x 97 x 127
Step 4: Therefore, the least common multiple of 5715 and 5723 is 32706945.