Least Common Multiple of 8631 and 8635
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8631 and 8635 the smallest integer that is 74528685 that is divisible by both numbers.
Least Common Multiple (LCM) of 8631 and 8635 is 74528685.
LCM(8631,8635) = 74528685
LCM of 8631 and 8635
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8631 and 8635 by Prime method
- Least Common Multiple of 8631 and 8635 with GCF Formula
LCM of 8631 and 8635 is 74528685
Least common multiple can be found by multiplying the highest exponent prime factors of 8631 and 8635. First we will calculate the prime factors of 8631 and 8635.
Prime Factorization of 8631
| 3 | 8631 |
| 3 | 2877 |
| 7 | 959 |
| 137 | 137 |
| 1 |
Prime factors of 8631 are 3, 7,137. Prime factorization of 8631 in exponential form is:
8631 = 32×71×1371
Prime Factorization of 8635
| 5 | 8635 |
| 11 | 1727 |
| 157 | 157 |
| 1 |
Prime factors of 8635 are 5, 11,157. Prime factorization of 8635 in exponential form is:
8635 = 51×111×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 8631 and 8635.
LCM(8631,8635) = 32×51×71×111×1371×1571
LCM(8631,8635) = 74528685
Factors of 8631
List of positive integer factors of 8631 that divides 8631 without a remainder.
1, 3, 7, 9, 21, 63, 137, 411, 959, 1233, 2877, 8631
Factors of 8635
List of positive integer factors of 8635 that divides 8635 without a remainder.
1, 5, 11, 55, 157, 785, 1727, 8635
Least Common Multiple of 8631 and 8635 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8631 and 8635, than apply into the LCM equation.
GCF(8631,8635) = 1
LCM(8631,8635) = ( 8631 × 8635) / 1
LCM(8631,8635) = 74528685 / 1
LCM(8631,8635) = 74528685
Properties of LCM 8631 and 8635
(i) The LCM of 8635 and 8631 is associative
LCM of 8631 and 8635 = LCM of 8635 and 8631
Related Least Common Multiples of 8631
Related Least Common Multiples of 8635
Frequently Asked Questions on LCM of 8631 and 8635
1. What is the LCM of 8631 and 8635?
Answer: LCM of 8631 and 8635 is 74528685.
2. What are the Factors of 8631?
Answer: Factors of 8631 are 1, 3, 7, 9, 21, 63, 137, 411, 959, 1233, 2877, 8631. There are 12 integers that are factors of 8631. The greatest factor of 8631 is 8631.
3. What are the Factors of 8635?
Answer: Factors of 8635 are 1, 5, 11, 55, 157, 785, 1727, 8635. There are 8 integers that are factors of 8635. The greatest factor of 8635 is 8635.
4. How to Find the LCM of 8631 and 8635?
Answer:
Least Common Multiple of 8631 and 8635 = 74528685
Step 1: Find the prime factorization of 8631
8631 = 3 x 3 x 7 x 137
Step 2: Find the prime factorization of 8635
8635 = 5 x 11 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 = 74528685 = 3 x 3 x 5 x 7 x 11 x 137 x 157
Step 4: Therefore, the least common multiple of 8631 and 8635 is 74528685.