Least Common Multiple of 3649 and 3653
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 3653 the smallest integer that is 13329797 that is divisible by both numbers.
Least Common Multiple (LCM) of 3649 and 3653 is 13329797.
LCM(3649,3653) = 13329797
LCM of 3649 and 3653
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3649 and 3653 by Prime method
- Least Common Multiple of 3649 and 3653 with GCF Formula
LCM of 3649 and 3653 is 13329797
Least common multiple can be found by multiplying the highest exponent prime factors of 3649 and 3653. First we will calculate the prime factors of 3649 and 3653.
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 3653
| 13 | 3653 |
| 281 | 281 |
| 1 |
Prime factors of 3653 are 13,281. Prime factorization of 3653 in exponential form is:
3653 = 131×2811
Now multiplying the highest exponent prime factors to calculate the LCM of 3649 and 3653.
LCM(3649,3653) = 131×411×891×2811
LCM(3649,3653) = 13329797
Factors of 3649
List of positive integer factors of 3649 that divides 3649 without a remainder.
1, 41, 89, 3649
Factors of 3653
List of positive integer factors of 3653 that divides 3653 without a remainder.
1, 13, 281, 3653
Least Common Multiple of 3649 and 3653 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 3653, than apply into the LCM equation.
GCF(3649,3653) = 1
LCM(3649,3653) = ( 3649 × 3653) / 1
LCM(3649,3653) = 13329797 / 1
LCM(3649,3653) = 13329797
Properties of LCM 3649 and 3653
(i) The LCM of 3653 and 3649 is associative
LCM of 3649 and 3653 = LCM of 3653 and 3649
Related Least Common Multiples of 3649
Related Least Common Multiples of 3653
Frequently Asked Questions on LCM of 3649 and 3653
1. What is the LCM of 3649 and 3653?
Answer: LCM of 3649 and 3653 is 13329797.
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 3653?
Answer: Factors of 3653 are 1, 13, 281, 3653. There are 4 integers that are factors of 3653. The greatest factor of 3653 is 3653.
4. How to Find the LCM of 3649 and 3653?
Answer:
Least Common Multiple of 3649 and 3653 = 13329797
Step 1: Find the prime factorization of 3649
3649 = 41 x 89
Step 2: Find the prime factorization of 3653
3653 = 13 x 281
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13329797 = 13 x 41 x 89 x 281
Step 4: Therefore, the least common multiple of 3649 and 3653 is 13329797.