Least Common Multiple of 8637 and 8645
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8637 and 8645 the smallest integer that is 74666865 that is divisible by both numbers.
Least Common Multiple (LCM) of 8637 and 8645 is 74666865.
LCM(8637,8645) = 74666865
LCM of 8637 and 8645
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8637 and 8645 by Prime method
- Least Common Multiple of 8637 and 8645 with GCF Formula
LCM of 8637 and 8645 is 74666865
Least common multiple can be found by multiplying the highest exponent prime factors of 8637 and 8645. First we will calculate the prime factors of 8637 and 8645.
Prime Factorization of 8637
| 3 | 8637 |
| 2879 | 2879 |
| 1 |
Prime factors of 8637 are 3,2879. Prime factorization of 8637 in exponential form is:
8637 = 31×28791
Prime Factorization of 8645
| 5 | 8645 |
| 7 | 1729 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 8645 are 5, 7, 13,19. Prime factorization of 8645 in exponential form is:
8645 = 51×71×131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 8637 and 8645.
LCM(8637,8645) = 31×51×71×131×191×28791
LCM(8637,8645) = 74666865
Factors of 8637
List of positive integer factors of 8637 that divides 8637 without a remainder.
1, 3, 2879, 8637
Factors of 8645
List of positive integer factors of 8645 that divides 8645 without a remainder.
1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645
Least Common Multiple of 8637 and 8645 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8637 and 8645, than apply into the LCM equation.
GCF(8637,8645) = 1
LCM(8637,8645) = ( 8637 × 8645) / 1
LCM(8637,8645) = 74666865 / 1
LCM(8637,8645) = 74666865
Properties of LCM 8637 and 8645
(i) The LCM of 8645 and 8637 is associative
LCM of 8637 and 8645 = LCM of 8645 and 8637
Related Least Common Multiples of 8637
Related Least Common Multiples of 8645
Frequently Asked Questions on LCM of 8637 and 8645
1. What is the LCM of 8637 and 8645?
Answer: LCM of 8637 and 8645 is 74666865.
2. What are the Factors of 8637?
Answer: Factors of 8637 are 1, 3, 2879, 8637. There are 4 integers that are factors of 8637. The greatest factor of 8637 is 8637.
3. What are the Factors of 8645?
Answer: Factors of 8645 are 1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645. There are 16 integers that are factors of 8645. The greatest factor of 8645 is 8645.
4. How to Find the LCM of 8637 and 8645?
Answer:
Least Common Multiple of 8637 and 8645 = 74666865
Step 1: Find the prime factorization of 8637
8637 = 3 x 2879
Step 2: Find the prime factorization of 8645
8645 = 5 x 7 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74666865 = 3 x 5 x 7 x 13 x 19 x 2879
Step 4: Therefore, the least common multiple of 8637 and 8645 is 74666865.