Least Common Multiple of 3630 and 3631
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3630 and 3631 the smallest integer that is 13180530 that is divisible by both numbers.
Least Common Multiple (LCM) of 3630 and 3631 is 13180530.
LCM(3630,3631) = 13180530
LCM of 3630 and 3631
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3630 and 3631 by Prime method
- Least Common Multiple of 3630 and 3631 with GCF Formula
LCM of 3630 and 3631 is 13180530
Least common multiple can be found by multiplying the highest exponent prime factors of 3630 and 3631. First we will calculate the prime factors of 3630 and 3631.
Prime Factorization of 3630
| 2 | 3630 |
| 3 | 1815 |
| 5 | 605 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 3630 are 2, 3, 5,11. Prime factorization of 3630 in exponential form is:
3630 = 21×31×51×112
Prime Factorization of 3631
| 3631 | 3631 |
| 1 |
Prime factors of 3631 are 3631. Prime factorization of 3631 in exponential form is:
3631 = 36311
Now multiplying the highest exponent prime factors to calculate the LCM of 3630 and 3631.
LCM(3630,3631) = 21×31×51×112×36311
LCM(3630,3631) = 13180530
Factors of 3630
List of positive integer factors of 3630 that divides 3630 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630
Factors of 3631
List of positive integer factors of 3631 that divides 3631 without a remainder.
1, 3631
Least Common Multiple of 3630 and 3631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3630 and 3631, than apply into the LCM equation.
GCF(3630,3631) = 1
LCM(3630,3631) = ( 3630 × 3631) / 1
LCM(3630,3631) = 13180530 / 1
LCM(3630,3631) = 13180530
Properties of LCM 3630 and 3631
(i) The LCM of 3631 and 3630 is associative
LCM of 3630 and 3631 = LCM of 3631 and 3630
Related Least Common Multiples of 3630
Related Least Common Multiples of 3631
Frequently Asked Questions on LCM of 3630 and 3631
1. What is the LCM of 3630 and 3631?
Answer: LCM of 3630 and 3631 is 13180530.
2. What are the Factors of 3630?
Answer: Factors of 3630 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630. There are 24 integers that are factors of 3630. The greatest factor of 3630 is 3630.
3. What are the Factors of 3631?
Answer: Factors of 3631 are 1, 3631. There are 2 integers that are factors of 3631. The greatest factor of 3631 is 3631.
4. How to Find the LCM of 3630 and 3631?
Answer:
Least Common Multiple of 3630 and 3631 = 13180530
Step 1: Find the prime factorization of 3630
3630 = 2 x 3 x 5 x 11 x 11
Step 2: Find the prime factorization of 3631
3631 = 3631
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13180530 = 2 x 3 x 5 x 11 x 11 x 3631
Step 4: Therefore, the least common multiple of 3630 and 3631 is 13180530.