Least Common Multiple of 3649 and 3655
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3649 and 3655 the smallest integer that is 13337095 that is divisible by both numbers.
Least Common Multiple (LCM) of 3649 and 3655 is 13337095.
LCM(3649,3655) = 13337095
LCM of 3649 and 3655
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3649 and 3655 by Prime method
- Least Common Multiple of 3649 and 3655 with GCF Formula
LCM of 3649 and 3655 is 13337095
Least common multiple can be found by multiplying the highest exponent prime factors of 3649 and 3655. First we will calculate the prime factors of 3649 and 3655.
Prime Factorization of 3649
| 41 | 3649 |
| 89 | 89 |
| 1 |
Prime factors of 3649 are 41,89. Prime factorization of 3649 in exponential form is:
3649 = 411×891
Prime Factorization of 3655
| 5 | 3655 |
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 3655 are 5, 17,43. Prime factorization of 3655 in exponential form is:
3655 = 51×171×431
Now multiplying the highest exponent prime factors to calculate the LCM of 3649 and 3655.
LCM(3649,3655) = 51×171×411×431×891
LCM(3649,3655) = 13337095
Factors of 3649
List of positive integer factors of 3649 that divides 3649 without a remainder.
1, 41, 89, 3649
Factors of 3655
List of positive integer factors of 3655 that divides 3655 without a remainder.
1, 5, 17, 43, 85, 215, 731, 3655
Least Common Multiple of 3649 and 3655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3649 and 3655, than apply into the LCM equation.
GCF(3649,3655) = 1
LCM(3649,3655) = ( 3649 × 3655) / 1
LCM(3649,3655) = 13337095 / 1
LCM(3649,3655) = 13337095
Properties of LCM 3649 and 3655
(i) The LCM of 3655 and 3649 is associative
LCM of 3649 and 3655 = LCM of 3655 and 3649
Related Least Common Multiples of 3649
Related Least Common Multiples of 3655
Frequently Asked Questions on LCM of 3649 and 3655
1. What is the LCM of 3649 and 3655?
Answer: LCM of 3649 and 3655 is 13337095.
2. What are the Factors of 3649?
Answer: Factors of 3649 are 1, 41, 89, 3649. There are 4 integers that are factors of 3649. The greatest factor of 3649 is 3649.
3. What are the Factors of 3655?
Answer: Factors of 3655 are 1, 5, 17, 43, 85, 215, 731, 3655. There are 8 integers that are factors of 3655. The greatest factor of 3655 is 3655.
4. How to Find the LCM of 3649 and 3655?
Answer:
Least Common Multiple of 3649 and 3655 = 13337095
Step 1: Find the prime factorization of 3649
3649 = 41 x 89
Step 2: Find the prime factorization of 3655
3655 = 5 x 17 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13337095 = 5 x 17 x 41 x 43 x 89
Step 4: Therefore, the least common multiple of 3649 and 3655 is 13337095.