Least Common Multiple of 3689 and 3695
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3689 and 3695 the smallest integer that is 13630855 that is divisible by both numbers.
Least Common Multiple (LCM) of 3689 and 3695 is 13630855.
LCM(3689,3695) = 13630855
LCM of 3689 and 3695
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3689 and 3695 by Prime method
- Least Common Multiple of 3689 and 3695 with GCF Formula
LCM of 3689 and 3695 is 13630855
Least common multiple can be found by multiplying the highest exponent prime factors of 3689 and 3695. First we will calculate the prime factors of 3689 and 3695.
Prime Factorization of 3689
| 7 | 3689 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 3689 are 7, 17,31. Prime factorization of 3689 in exponential form is:
3689 = 71×171×311
Prime Factorization of 3695
| 5 | 3695 |
| 739 | 739 |
| 1 |
Prime factors of 3695 are 5,739. Prime factorization of 3695 in exponential form is:
3695 = 51×7391
Now multiplying the highest exponent prime factors to calculate the LCM of 3689 and 3695.
LCM(3689,3695) = 51×71×171×311×7391
LCM(3689,3695) = 13630855
Factors of 3689
List of positive integer factors of 3689 that divides 3689 without a remainder.
1, 7, 17, 31, 119, 217, 527, 3689
Factors of 3695
List of positive integer factors of 3695 that divides 3695 without a remainder.
1, 5, 739, 3695
Least Common Multiple of 3689 and 3695 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3689 and 3695, than apply into the LCM equation.
GCF(3689,3695) = 1
LCM(3689,3695) = ( 3689 × 3695) / 1
LCM(3689,3695) = 13630855 / 1
LCM(3689,3695) = 13630855
Properties of LCM 3689 and 3695
(i) The LCM of 3695 and 3689 is associative
LCM of 3689 and 3695 = LCM of 3695 and 3689
Related Least Common Multiples of 3689
Related Least Common Multiples of 3695
Frequently Asked Questions on LCM of 3689 and 3695
1. What is the LCM of 3689 and 3695?
Answer: LCM of 3689 and 3695 is 13630855.
2. What are the Factors of 3689?
Answer: Factors of 3689 are 1, 7, 17, 31, 119, 217, 527, 3689. There are 8 integers that are factors of 3689. The greatest factor of 3689 is 3689.
3. What are the Factors of 3695?
Answer: Factors of 3695 are 1, 5, 739, 3695. There are 4 integers that are factors of 3695. The greatest factor of 3695 is 3695.
4. How to Find the LCM of 3689 and 3695?
Answer:
Least Common Multiple of 3689 and 3695 = 13630855
Step 1: Find the prime factorization of 3689
3689 = 7 x 17 x 31
Step 2: Find the prime factorization of 3695
3695 = 5 x 739
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13630855 = 5 x 7 x 17 x 31 x 739
Step 4: Therefore, the least common multiple of 3689 and 3695 is 13630855.