Least Common Multiple of 5697 and 5705
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5697 and 5705 the smallest integer that is 32501385 that is divisible by both numbers.
Least Common Multiple (LCM) of 5697 and 5705 is 32501385.
LCM(5697,5705) = 32501385
LCM of 5697 and 5705
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5697 and 5705 by Prime method
- Least Common Multiple of 5697 and 5705 with GCF Formula
LCM of 5697 and 5705 is 32501385
Least common multiple can be found by multiplying the highest exponent prime factors of 5697 and 5705. First we will calculate the prime factors of 5697 and 5705.
Prime Factorization of 5697
| 3 | 5697 |
| 3 | 1899 |
| 3 | 633 |
| 211 | 211 |
| 1 |
Prime factors of 5697 are 3,211. Prime factorization of 5697 in exponential form is:
5697 = 33×2111
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5697 and 5705.
LCM(5697,5705) = 33×51×71×1631×2111
LCM(5697,5705) = 32501385
Factors of 5697
List of positive integer factors of 5697 that divides 5697 without a remainder.
1, 3, 9, 27, 211, 633, 1899, 5697
Factors of 5705
List of positive integer factors of 5705 that divides 5705 without a remainder.
1, 5, 7, 35, 163, 815, 1141, 5705
Least Common Multiple of 5697 and 5705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5697 and 5705, than apply into the LCM equation.
GCF(5697,5705) = 1
LCM(5697,5705) = ( 5697 × 5705) / 1
LCM(5697,5705) = 32501385 / 1
LCM(5697,5705) = 32501385
Properties of LCM 5697 and 5705
(i) The LCM of 5705 and 5697 is associative
LCM of 5697 and 5705 = LCM of 5705 and 5697
Related Least Common Multiples of 5697
Related Least Common Multiples of 5705
Frequently Asked Questions on LCM of 5697 and 5705
1. What is the LCM of 5697 and 5705?
Answer: LCM of 5697 and 5705 is 32501385.
2. What are the Factors of 5697?
Answer: Factors of 5697 are 1, 3, 9, 27, 211, 633, 1899, 5697. There are 8 integers that are factors of 5697. The greatest factor of 5697 is 5697.
3. 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.
4. How to Find the LCM of 5697 and 5705?
Answer:
Least Common Multiple of 5697 and 5705 = 32501385
Step 1: Find the prime factorization of 5697
5697 = 3 x 3 x 3 x 211
Step 2: Find the prime factorization of 5705
5705 = 5 x 7 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32501385 = 3 x 3 x 3 x 5 x 7 x 163 x 211
Step 4: Therefore, the least common multiple of 5697 and 5705 is 32501385.