Least Common Multiple of 5626 and 5631
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5626 and 5631 the smallest integer that is 31680006 that is divisible by both numbers.
Least Common Multiple (LCM) of 5626 and 5631 is 31680006.
LCM(5626,5631) = 31680006
LCM of 5626 and 5631
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5626 and 5631 by Prime method
- Least Common Multiple of 5626 and 5631 with GCF Formula
LCM of 5626 and 5631 is 31680006
Least common multiple can be found by multiplying the highest exponent prime factors of 5626 and 5631. First we will calculate the prime factors of 5626 and 5631.
Prime Factorization of 5626
| 2 | 5626 |
| 29 | 2813 |
| 97 | 97 |
| 1 |
Prime factors of 5626 are 2, 29,97. Prime factorization of 5626 in exponential form is:
5626 = 21×291×971
Prime Factorization of 5631
| 3 | 5631 |
| 1877 | 1877 |
| 1 |
Prime factors of 5631 are 3,1877. Prime factorization of 5631 in exponential form is:
5631 = 31×18771
Now multiplying the highest exponent prime factors to calculate the LCM of 5626 and 5631.
LCM(5626,5631) = 21×31×291×971×18771
LCM(5626,5631) = 31680006
Factors of 5626
List of positive integer factors of 5626 that divides 5626 without a remainder.
1, 2, 29, 58, 97, 194, 2813, 5626
Factors of 5631
List of positive integer factors of 5631 that divides 5631 without a remainder.
1, 3, 1877, 5631
Least Common Multiple of 5626 and 5631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5626 and 5631, than apply into the LCM equation.
GCF(5626,5631) = 1
LCM(5626,5631) = ( 5626 × 5631) / 1
LCM(5626,5631) = 31680006 / 1
LCM(5626,5631) = 31680006
Properties of LCM 5626 and 5631
(i) The LCM of 5631 and 5626 is associative
LCM of 5626 and 5631 = LCM of 5631 and 5626
Related Least Common Multiples of 5626
Related Least Common Multiples of 5631
Frequently Asked Questions on LCM of 5626 and 5631
1. What is the LCM of 5626 and 5631?
Answer: LCM of 5626 and 5631 is 31680006.
2. What are the Factors of 5626?
Answer: Factors of 5626 are 1, 2, 29, 58, 97, 194, 2813, 5626. There are 8 integers that are factors of 5626. The greatest factor of 5626 is 5626.
3. What are the Factors of 5631?
Answer: Factors of 5631 are 1, 3, 1877, 5631. There are 4 integers that are factors of 5631. The greatest factor of 5631 is 5631.
4. How to Find the LCM of 5626 and 5631?
Answer:
Least Common Multiple of 5626 and 5631 = 31680006
Step 1: Find the prime factorization of 5626
5626 = 2 x 29 x 97
Step 2: Find the prime factorization of 5631
5631 = 3 x 1877
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31680006 = 2 x 3 x 29 x 97 x 1877
Step 4: Therefore, the least common multiple of 5626 and 5631 is 31680006.