Least Common Multiple of 3653 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 3653 and 3655 the smallest integer that is 13351715 that is divisible by both numbers.
Least Common Multiple (LCM) of 3653 and 3655 is 13351715.
LCM(3653,3655) = 13351715
LCM of 3653 and 3655
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3653 and 3655 by Prime method
- Least Common Multiple of 3653 and 3655 with GCF Formula
LCM of 3653 and 3655 is 13351715
Least common multiple can be found by multiplying the highest exponent prime factors of 3653 and 3655. First we will calculate the prime factors of 3653 and 3655.
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
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 3653 and 3655.
LCM(3653,3655) = 51×131×171×431×2811
LCM(3653,3655) = 13351715
Factors of 3653
List of positive integer factors of 3653 that divides 3653 without a remainder.
1, 13, 281, 3653
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 3653 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 3653 and 3655, than apply into the LCM equation.
GCF(3653,3655) = 1
LCM(3653,3655) = ( 3653 × 3655) / 1
LCM(3653,3655) = 13351715 / 1
LCM(3653,3655) = 13351715
Properties of LCM 3653 and 3655
(i) The LCM of 3655 and 3653 is associative
LCM of 3653 and 3655 = LCM of 3655 and 3653
Related Least Common Multiples of 3653
Related Least Common Multiples of 3655
Frequently Asked Questions on LCM of 3653 and 3655
1. What is the LCM of 3653 and 3655?
Answer: LCM of 3653 and 3655 is 13351715.
2. 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.
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 3653 and 3655?
Answer:
Least Common Multiple of 3653 and 3655 = 13351715
Step 1: Find the prime factorization of 3653
3653 = 13 x 281
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 = 13351715 = 5 x 13 x 17 x 43 x 281
Step 4: Therefore, the least common multiple of 3653 and 3655 is 13351715.