Least Common Multiple of 3655 and 3659
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3655 and 3659 the smallest integer that is 13373645 that is divisible by both numbers.
Least Common Multiple (LCM) of 3655 and 3659 is 13373645.
LCM(3655,3659) = 13373645
LCM of 3655 and 3659
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3655 and 3659 by Prime method
- Least Common Multiple of 3655 and 3659 with GCF Formula
LCM of 3655 and 3659 is 13373645
Least common multiple can be found by multiplying the highest exponent prime factors of 3655 and 3659. First we will calculate the prime factors of 3655 and 3659.
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
Prime Factorization of 3659
| 3659 | 3659 |
| 1 |
Prime factors of 3659 are 3659. Prime factorization of 3659 in exponential form is:
3659 = 36591
Now multiplying the highest exponent prime factors to calculate the LCM of 3655 and 3659.
LCM(3655,3659) = 51×171×431×36591
LCM(3655,3659) = 13373645
Factors of 3655
List of positive integer factors of 3655 that divides 3655 without a remainder.
1, 5, 17, 43, 85, 215, 731, 3655
Factors of 3659
List of positive integer factors of 3659 that divides 3659 without a remainder.
1, 3659
Least Common Multiple of 3655 and 3659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3655 and 3659, than apply into the LCM equation.
GCF(3655,3659) = 1
LCM(3655,3659) = ( 3655 × 3659) / 1
LCM(3655,3659) = 13373645 / 1
LCM(3655,3659) = 13373645
Properties of LCM 3655 and 3659
(i) The LCM of 3659 and 3655 is associative
LCM of 3655 and 3659 = LCM of 3659 and 3655
Related Least Common Multiples of 3655
Related Least Common Multiples of 3659
Frequently Asked Questions on LCM of 3655 and 3659
1. What is the LCM of 3655 and 3659?
Answer: LCM of 3655 and 3659 is 13373645.
2. 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.
3. What are the Factors of 3659?
Answer: Factors of 3659 are 1, 3659. There are 2 integers that are factors of 3659. The greatest factor of 3659 is 3659.
4. How to Find the LCM of 3655 and 3659?
Answer:
Least Common Multiple of 3655 and 3659 = 13373645
Step 1: Find the prime factorization of 3655
3655 = 5 x 17 x 43
Step 2: Find the prime factorization of 3659
3659 = 3659
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13373645 = 5 x 17 x 43 x 3659
Step 4: Therefore, the least common multiple of 3655 and 3659 is 13373645.