Least Common Multiple of 8635 and 8639
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8635 and 8639 the smallest integer that is 74597765 that is divisible by both numbers.
Least Common Multiple (LCM) of 8635 and 8639 is 74597765.
LCM(8635,8639) = 74597765
LCM of 8635 and 8639
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8635 and 8639 by Prime method
- Least Common Multiple of 8635 and 8639 with GCF Formula
LCM of 8635 and 8639 is 74597765
Least common multiple can be found by multiplying the highest exponent prime factors of 8635 and 8639. First we will calculate the prime factors of 8635 and 8639.
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
Prime Factorization of 8639
| 53 | 8639 |
| 163 | 163 |
| 1 |
Prime factors of 8639 are 53,163. Prime factorization of 8639 in exponential form is:
8639 = 531×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 8635 and 8639.
LCM(8635,8639) = 51×111×531×1571×1631
LCM(8635,8639) = 74597765
Factors of 8635
List of positive integer factors of 8635 that divides 8635 without a remainder.
1, 5, 11, 55, 157, 785, 1727, 8635
Factors of 8639
List of positive integer factors of 8639 that divides 8639 without a remainder.
1, 53, 163, 8639
Least Common Multiple of 8635 and 8639 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8635 and 8639, than apply into the LCM equation.
GCF(8635,8639) = 1
LCM(8635,8639) = ( 8635 × 8639) / 1
LCM(8635,8639) = 74597765 / 1
LCM(8635,8639) = 74597765
Properties of LCM 8635 and 8639
(i) The LCM of 8639 and 8635 is associative
LCM of 8635 and 8639 = LCM of 8639 and 8635
Related Least Common Multiples of 8635
Related Least Common Multiples of 8639
Frequently Asked Questions on LCM of 8635 and 8639
1. What is the LCM of 8635 and 8639?
Answer: LCM of 8635 and 8639 is 74597765.
2. 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.
3. What are the Factors of 8639?
Answer: Factors of 8639 are 1, 53, 163, 8639. There are 4 integers that are factors of 8639. The greatest factor of 8639 is 8639.
4. How to Find the LCM of 8635 and 8639?
Answer:
Least Common Multiple of 8635 and 8639 = 74597765
Step 1: Find the prime factorization of 8635
8635 = 5 x 11 x 157
Step 2: Find the prime factorization of 8639
8639 = 53 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74597765 = 5 x 11 x 53 x 157 x 163
Step 4: Therefore, the least common multiple of 8635 and 8639 is 74597765.
