Least Common Multiple of 3605 and 3611
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3605 and 3611 the smallest integer that is 13017655 that is divisible by both numbers.
Least Common Multiple (LCM) of 3605 and 3611 is 13017655.
LCM(3605,3611) = 13017655
LCM of 3605 and 3611
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3605 and 3611 by Prime method
- Least Common Multiple of 3605 and 3611 with GCF Formula
LCM of 3605 and 3611 is 13017655
Least common multiple can be found by multiplying the highest exponent prime factors of 3605 and 3611. First we will calculate the prime factors of 3605 and 3611.
Prime Factorization of 3605
| 5 | 3605 |
| 7 | 721 |
| 103 | 103 |
| 1 |
Prime factors of 3605 are 5, 7,103. Prime factorization of 3605 in exponential form is:
3605 = 51×71×1031
Prime Factorization of 3611
| 23 | 3611 |
| 157 | 157 |
| 1 |
Prime factors of 3611 are 23,157. Prime factorization of 3611 in exponential form is:
3611 = 231×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 3605 and 3611.
LCM(3605,3611) = 51×71×231×1031×1571
LCM(3605,3611) = 13017655
Factors of 3605
List of positive integer factors of 3605 that divides 3605 without a remainder.
1, 5, 7, 35, 103, 515, 721, 3605
Factors of 3611
List of positive integer factors of 3611 that divides 3611 without a remainder.
1, 23, 157, 3611
Least Common Multiple of 3605 and 3611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3605 and 3611, than apply into the LCM equation.
GCF(3605,3611) = 1
LCM(3605,3611) = ( 3605 × 3611) / 1
LCM(3605,3611) = 13017655 / 1
LCM(3605,3611) = 13017655
Properties of LCM 3605 and 3611
(i) The LCM of 3611 and 3605 is associative
LCM of 3605 and 3611 = LCM of 3611 and 3605
Related Least Common Multiples of 3605
Related Least Common Multiples of 3611
Frequently Asked Questions on LCM of 3605 and 3611
1. What is the LCM of 3605 and 3611?
Answer: LCM of 3605 and 3611 is 13017655.
2. What are the Factors of 3605?
Answer: Factors of 3605 are 1, 5, 7, 35, 103, 515, 721, 3605. There are 8 integers that are factors of 3605. The greatest factor of 3605 is 3605.
3. What are the Factors of 3611?
Answer: Factors of 3611 are 1, 23, 157, 3611. There are 4 integers that are factors of 3611. The greatest factor of 3611 is 3611.
4. How to Find the LCM of 3605 and 3611?
Answer:
Least Common Multiple of 3605 and 3611 = 13017655
Step 1: Find the prime factorization of 3605
3605 = 5 x 7 x 103
Step 2: Find the prime factorization of 3611
3611 = 23 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13017655 = 5 x 7 x 23 x 103 x 157
Step 4: Therefore, the least common multiple of 3605 and 3611 is 13017655.
