Least Common Multiple of 3689 and 3693
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 3693 the smallest integer that is 13623477 that is divisible by both numbers.
Least Common Multiple (LCM) of 3689 and 3693 is 13623477.
LCM(3689,3693) = 13623477
LCM of 3689 and 3693
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3689 and 3693 by Prime method
- Least Common Multiple of 3689 and 3693 with GCF Formula
LCM of 3689 and 3693 is 13623477
Least common multiple can be found by multiplying the highest exponent prime factors of 3689 and 3693. First we will calculate the prime factors of 3689 and 3693.
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 3693
| 3 | 3693 |
| 1231 | 1231 |
| 1 |
Prime factors of 3693 are 3,1231. Prime factorization of 3693 in exponential form is:
3693 = 31×12311
Now multiplying the highest exponent prime factors to calculate the LCM of 3689 and 3693.
LCM(3689,3693) = 31×71×171×311×12311
LCM(3689,3693) = 13623477
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 3693
List of positive integer factors of 3693 that divides 3693 without a remainder.
1, 3, 1231, 3693
Least Common Multiple of 3689 and 3693 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 3693, than apply into the LCM equation.
GCF(3689,3693) = 1
LCM(3689,3693) = ( 3689 × 3693) / 1
LCM(3689,3693) = 13623477 / 1
LCM(3689,3693) = 13623477
Properties of LCM 3689 and 3693
(i) The LCM of 3693 and 3689 is associative
LCM of 3689 and 3693 = LCM of 3693 and 3689
Related Least Common Multiples of 3689
Related Least Common Multiples of 3693
Frequently Asked Questions on LCM of 3689 and 3693
1. What is the LCM of 3689 and 3693?
Answer: LCM of 3689 and 3693 is 13623477.
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 3693?
Answer: Factors of 3693 are 1, 3, 1231, 3693. There are 4 integers that are factors of 3693. The greatest factor of 3693 is 3693.
4. How to Find the LCM of 3689 and 3693?
Answer:
Least Common Multiple of 3689 and 3693 = 13623477
Step 1: Find the prime factorization of 3689
3689 = 7 x 17 x 31
Step 2: Find the prime factorization of 3693
3693 = 3 x 1231
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13623477 = 3 x 7 x 17 x 31 x 1231
Step 4: Therefore, the least common multiple of 3689 and 3693 is 13623477.