Least Common Multiple of 5705 and 5713
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5705 and 5713 the smallest integer that is 32592665 that is divisible by both numbers.
Least Common Multiple (LCM) of 5705 and 5713 is 32592665.
LCM(5705,5713) = 32592665
LCM of 5705 and 5713
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5705 and 5713 by Prime method
- Least Common Multiple of 5705 and 5713 with GCF Formula
LCM of 5705 and 5713 is 32592665
Least common multiple can be found by multiplying the highest exponent prime factors of 5705 and 5713. First we will calculate the prime factors of 5705 and 5713.
Prime Factorization of 5705
| 5 | 5705 |
| 7 | 1141 |
| 163 | 163 |
| 1 |
Prime factors of 5705 are 5, 7,163. Prime factorization of 5705 in exponential form is:
5705 = 51×71×1631
Prime Factorization of 5713
| 29 | 5713 |
| 197 | 197 |
| 1 |
Prime factors of 5713 are 29,197. Prime factorization of 5713 in exponential form is:
5713 = 291×1971
Now multiplying the highest exponent prime factors to calculate the LCM of 5705 and 5713.
LCM(5705,5713) = 51×71×291×1631×1971
LCM(5705,5713) = 32592665
Factors of 5705
List of positive integer factors of 5705 that divides 5705 without a remainder.
1, 5, 7, 35, 163, 815, 1141, 5705
Factors of 5713
List of positive integer factors of 5713 that divides 5713 without a remainder.
1, 29, 197, 5713
Least Common Multiple of 5705 and 5713 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5705 and 5713, than apply into the LCM equation.
GCF(5705,5713) = 1
LCM(5705,5713) = ( 5705 × 5713) / 1
LCM(5705,5713) = 32592665 / 1
LCM(5705,5713) = 32592665
Properties of LCM 5705 and 5713
(i) The LCM of 5713 and 5705 is associative
LCM of 5705 and 5713 = LCM of 5713 and 5705
Related Least Common Multiples of 5705
Related Least Common Multiples of 5713
Frequently Asked Questions on LCM of 5705 and 5713
1. What is the LCM of 5705 and 5713?
Answer: LCM of 5705 and 5713 is 32592665.
2. What are the Factors of 5705?
Answer: Factors of 5705 are 1, 5, 7, 35, 163, 815, 1141, 5705. There are 8 integers that are factors of 5705. The greatest factor of 5705 is 5705.
3. What are the Factors of 5713?
Answer: Factors of 5713 are 1, 29, 197, 5713. There are 4 integers that are factors of 5713. The greatest factor of 5713 is 5713.
4. How to Find the LCM of 5705 and 5713?
Answer:
Least Common Multiple of 5705 and 5713 = 32592665
Step 1: Find the prime factorization of 5705
5705 = 5 x 7 x 163
Step 2: Find the prime factorization of 5713
5713 = 29 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32592665 = 5 x 7 x 29 x 163 x 197
Step 4: Therefore, the least common multiple of 5705 and 5713 is 32592665.