Least Common Multiple of 8645 and 8653
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8645 and 8653 the smallest integer that is 74805185 that is divisible by both numbers.
Least Common Multiple (LCM) of 8645 and 8653 is 74805185.
LCM(8645,8653) = 74805185
LCM of 8645 and 8653
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8645 and 8653 by Prime method
- Least Common Multiple of 8645 and 8653 with GCF Formula
LCM of 8645 and 8653 is 74805185
Least common multiple can be found by multiplying the highest exponent prime factors of 8645 and 8653. First we will calculate the prime factors of 8645 and 8653.
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
Prime Factorization of 8653
| 17 | 8653 |
| 509 | 509 |
| 1 |
Prime factors of 8653 are 17,509. Prime factorization of 8653 in exponential form is:
8653 = 171×5091
Now multiplying the highest exponent prime factors to calculate the LCM of 8645 and 8653.
LCM(8645,8653) = 51×71×131×171×191×5091
LCM(8645,8653) = 74805185
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
Factors of 8653
List of positive integer factors of 8653 that divides 8653 without a remainder.
1, 17, 509, 8653
Least Common Multiple of 8645 and 8653 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8645 and 8653, than apply into the LCM equation.
GCF(8645,8653) = 1
LCM(8645,8653) = ( 8645 × 8653) / 1
LCM(8645,8653) = 74805185 / 1
LCM(8645,8653) = 74805185
Properties of LCM 8645 and 8653
(i) The LCM of 8653 and 8645 is associative
LCM of 8645 and 8653 = LCM of 8653 and 8645
Related Least Common Multiples of 8645
Related Least Common Multiples of 8653
Frequently Asked Questions on LCM of 8645 and 8653
1. What is the LCM of 8645 and 8653?
Answer: LCM of 8645 and 8653 is 74805185.
2. 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.
3. What are the Factors of 8653?
Answer: Factors of 8653 are 1, 17, 509, 8653. There are 4 integers that are factors of 8653. The greatest factor of 8653 is 8653.
4. How to Find the LCM of 8645 and 8653?
Answer:
Least Common Multiple of 8645 and 8653 = 74805185
Step 1: Find the prime factorization of 8645
8645 = 5 x 7 x 13 x 19
Step 2: Find the prime factorization of 8653
8653 = 17 x 509
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74805185 = 5 x 7 x 13 x 17 x 19 x 509
Step 4: Therefore, the least common multiple of 8645 and 8653 is 74805185.