Least Common Multiple of 5698 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 5698 and 5705 the smallest integer that is 4643870 that is divisible by both numbers.
Least Common Multiple (LCM) of 5698 and 5705 is 4643870.
LCM(5698,5705) = 4643870
LCM of 5698 and 5705
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5698 and 5705 by Prime method
- Least Common Multiple of 5698 and 5705 with GCF Formula
LCM of 5698 and 5705 is 4643870
Least common multiple can be found by multiplying the highest exponent prime factors of 5698 and 5705. First we will calculate the prime factors of 5698 and 5705.
Prime Factorization of 5698
| 2 | 5698 |
| 7 | 2849 |
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 5698 are 2, 7, 11,37. Prime factorization of 5698 in exponential form is:
5698 = 21×71×111×371
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 5698 and 5705.
LCM(5698,5705) = 21×51×71×111×371×1631
LCM(5698,5705) = 4643870
Factors of 5698
List of positive integer factors of 5698 that divides 5698 without a remainder.
1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698
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 5698 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 5698 and 5705, than apply into the LCM equation.
GCF(5698,5705) = 7
LCM(5698,5705) = ( 5698 × 5705) / 7
LCM(5698,5705) = 32507090 / 7
LCM(5698,5705) = 4643870
Properties of LCM 5698 and 5705
(i) The LCM of 5705 and 5698 is associative
LCM of 5698 and 5705 = LCM of 5705 and 5698
Related Least Common Multiples of 5698
Related Least Common Multiples of 5705
Frequently Asked Questions on LCM of 5698 and 5705
1. What is the LCM of 5698 and 5705?
Answer: LCM of 5698 and 5705 is 4643870.
2. What are the Factors of 5698?
Answer: Factors of 5698 are 1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698. There are 16 integers that are factors of 5698. The greatest factor of 5698 is 5698.
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 5698 and 5705?
Answer:
Least Common Multiple of 5698 and 5705 = 4643870
Step 1: Find the prime factorization of 5698
5698 = 2 x 7 x 11 x 37
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 = 4643870 = 2 x 5 x 7 x 11 x 37 x 163
Step 4: Therefore, the least common multiple of 5698 and 5705 is 4643870.