Least Common Multiple of 5629 and 5635
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5629 and 5635 the smallest integer that is 31719415 that is divisible by both numbers.
Least Common Multiple (LCM) of 5629 and 5635 is 31719415.
LCM(5629,5635) = 31719415
LCM of 5629 and 5635
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5629 and 5635 by Prime method
- Least Common Multiple of 5629 and 5635 with GCF Formula
LCM of 5629 and 5635 is 31719415
Least common multiple can be found by multiplying the highest exponent prime factors of 5629 and 5635. First we will calculate the prime factors of 5629 and 5635.
Prime Factorization of 5629
| 13 | 5629 |
| 433 | 433 |
| 1 |
Prime factors of 5629 are 13,433. Prime factorization of 5629 in exponential form is:
5629 = 131×4331
Prime Factorization of 5635
| 5 | 5635 |
| 7 | 1127 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 5635 are 5, 7,23. Prime factorization of 5635 in exponential form is:
5635 = 51×72×231
Now multiplying the highest exponent prime factors to calculate the LCM of 5629 and 5635.
LCM(5629,5635) = 51×72×131×231×4331
LCM(5629,5635) = 31719415
Factors of 5629
List of positive integer factors of 5629 that divides 5629 without a remainder.
1, 13, 433, 5629
Factors of 5635
List of positive integer factors of 5635 that divides 5635 without a remainder.
1, 5, 7, 23, 35, 49, 115, 161, 245, 805, 1127, 5635
Least Common Multiple of 5629 and 5635 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5629 and 5635, than apply into the LCM equation.
GCF(5629,5635) = 1
LCM(5629,5635) = ( 5629 × 5635) / 1
LCM(5629,5635) = 31719415 / 1
LCM(5629,5635) = 31719415
Properties of LCM 5629 and 5635
(i) The LCM of 5635 and 5629 is associative
LCM of 5629 and 5635 = LCM of 5635 and 5629
Related Least Common Multiples of 5629
Related Least Common Multiples of 5635
Frequently Asked Questions on LCM of 5629 and 5635
1. What is the LCM of 5629 and 5635?
Answer: LCM of 5629 and 5635 is 31719415.
2. What are the Factors of 5629?
Answer: Factors of 5629 are 1, 13, 433, 5629. There are 4 integers that are factors of 5629. The greatest factor of 5629 is 5629.
3. What are the Factors of 5635?
Answer: Factors of 5635 are 1, 5, 7, 23, 35, 49, 115, 161, 245, 805, 1127, 5635. There are 12 integers that are factors of 5635. The greatest factor of 5635 is 5635.
4. How to Find the LCM of 5629 and 5635?
Answer:
Least Common Multiple of 5629 and 5635 = 31719415
Step 1: Find the prime factorization of 5629
5629 = 13 x 433
Step 2: Find the prime factorization of 5635
5635 = 5 x 7 x 7 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31719415 = 5 x 7 x 7 x 13 x 23 x 433
Step 4: Therefore, the least common multiple of 5629 and 5635 is 31719415.