Least Common Multiple of 5705 and 5709
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 5709 the smallest integer that is 32569845 that is divisible by both numbers.
Least Common Multiple (LCM) of 5705 and 5709 is 32569845.
LCM(5705,5709) = 32569845
LCM of 5705 and 5709
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5705 and 5709 by Prime method
- Least Common Multiple of 5705 and 5709 with GCF Formula
LCM of 5705 and 5709 is 32569845
Least common multiple can be found by multiplying the highest exponent prime factors of 5705 and 5709. First we will calculate the prime factors of 5705 and 5709.
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 5709
| 3 | 5709 |
| 11 | 1903 |
| 173 | 173 |
| 1 |
Prime factors of 5709 are 3, 11,173. Prime factorization of 5709 in exponential form is:
5709 = 31×111×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 5705 and 5709.
LCM(5705,5709) = 31×51×71×111×1631×1731
LCM(5705,5709) = 32569845
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 5709
List of positive integer factors of 5709 that divides 5709 without a remainder.
1, 3, 11, 33, 173, 519, 1903, 5709
Least Common Multiple of 5705 and 5709 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 5709, than apply into the LCM equation.
GCF(5705,5709) = 1
LCM(5705,5709) = ( 5705 × 5709) / 1
LCM(5705,5709) = 32569845 / 1
LCM(5705,5709) = 32569845
Properties of LCM 5705 and 5709
(i) The LCM of 5709 and 5705 is associative
LCM of 5705 and 5709 = LCM of 5709 and 5705
Related Least Common Multiples of 5705
Related Least Common Multiples of 5709
Frequently Asked Questions on LCM of 5705 and 5709
1. What is the LCM of 5705 and 5709?
Answer: LCM of 5705 and 5709 is 32569845.
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 5709?
Answer: Factors of 5709 are 1, 3, 11, 33, 173, 519, 1903, 5709. There are 8 integers that are factors of 5709. The greatest factor of 5709 is 5709.
4. How to Find the LCM of 5705 and 5709?
Answer:
Least Common Multiple of 5705 and 5709 = 32569845
Step 1: Find the prime factorization of 5705
5705 = 5 x 7 x 163
Step 2: Find the prime factorization of 5709
5709 = 3 x 11 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32569845 = 3 x 5 x 7 x 11 x 163 x 173
Step 4: Therefore, the least common multiple of 5705 and 5709 is 32569845.