Least Common Multiple of 3683 and 3689
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3683 and 3689 the smallest integer that is 13586587 that is divisible by both numbers.
Least Common Multiple (LCM) of 3683 and 3689 is 13586587.
LCM(3683,3689) = 13586587
LCM of 3683 and 3689
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3683 and 3689 by Prime method
- Least Common Multiple of 3683 and 3689 with GCF Formula
LCM of 3683 and 3689 is 13586587
Least common multiple can be found by multiplying the highest exponent prime factors of 3683 and 3689. First we will calculate the prime factors of 3683 and 3689.
Prime Factorization of 3683
| 29 | 3683 |
| 127 | 127 |
| 1 |
Prime factors of 3683 are 29,127. Prime factorization of 3683 in exponential form is:
3683 = 291×1271
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3683 and 3689.
LCM(3683,3689) = 71×171×291×311×1271
LCM(3683,3689) = 13586587
Factors of 3683
List of positive integer factors of 3683 that divides 3683 without a remainder.
1, 29, 127, 3683
Factors of 3689
List of positive integer factors of 3689 that divides 3689 without a remainder.
1, 7, 17, 31, 119, 217, 527, 3689
Least Common Multiple of 3683 and 3689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3683 and 3689, than apply into the LCM equation.
GCF(3683,3689) = 1
LCM(3683,3689) = ( 3683 × 3689) / 1
LCM(3683,3689) = 13586587 / 1
LCM(3683,3689) = 13586587
Properties of LCM 3683 and 3689
(i) The LCM of 3689 and 3683 is associative
LCM of 3683 and 3689 = LCM of 3689 and 3683
Related Least Common Multiples of 3683
Related Least Common Multiples of 3689
Frequently Asked Questions on LCM of 3683 and 3689
1. What is the LCM of 3683 and 3689?
Answer: LCM of 3683 and 3689 is 13586587.
2. What are the Factors of 3683?
Answer: Factors of 3683 are 1, 29, 127, 3683. There are 4 integers that are factors of 3683. The greatest factor of 3683 is 3683.
3. 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.
4. How to Find the LCM of 3683 and 3689?
Answer:
Least Common Multiple of 3683 and 3689 = 13586587
Step 1: Find the prime factorization of 3683
3683 = 29 x 127
Step 2: Find the prime factorization of 3689
3689 = 7 x 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13586587 = 7 x 17 x 29 x 31 x 127
Step 4: Therefore, the least common multiple of 3683 and 3689 is 13586587.