Least Common Multiple of 8641 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 8641 and 8645 the smallest integer that is 74701445 that is divisible by both numbers.
Least Common Multiple (LCM) of 8641 and 8645 is 74701445.
LCM(8641,8645) = 74701445
LCM of 8641 and 8645
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8641 and 8645 by Prime method
- Least Common Multiple of 8641 and 8645 with GCF Formula
LCM of 8641 and 8645 is 74701445
Least common multiple can be found by multiplying the highest exponent prime factors of 8641 and 8645. First we will calculate the prime factors of 8641 and 8645.
Prime Factorization of 8641
| 8641 | 8641 |
| 1 |
Prime factors of 8641 are 8641. Prime factorization of 8641 in exponential form is:
8641 = 86411
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 8641 and 8645.
LCM(8641,8645) = 51×71×131×191×86411
LCM(8641,8645) = 74701445
Factors of 8641
List of positive integer factors of 8641 that divides 8641 without a remainder.
1, 8641
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 8641 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 8641 and 8645, than apply into the LCM equation.
GCF(8641,8645) = 1
LCM(8641,8645) = ( 8641 × 8645) / 1
LCM(8641,8645) = 74701445 / 1
LCM(8641,8645) = 74701445
Properties of LCM 8641 and 8645
(i) The LCM of 8645 and 8641 is associative
LCM of 8641 and 8645 = LCM of 8645 and 8641
Related Least Common Multiples of 8641
Related Least Common Multiples of 8645
Frequently Asked Questions on LCM of 8641 and 8645
1. What is the LCM of 8641 and 8645?
Answer: LCM of 8641 and 8645 is 74701445.
2. What are the Factors of 8641?
Answer: Factors of 8641 are 1, 8641. There are 2 integers that are factors of 8641. The greatest factor of 8641 is 8641.
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 8641 and 8645?
Answer:
Least Common Multiple of 8641 and 8645 = 74701445
Step 1: Find the prime factorization of 8641
8641 = 8641
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 = 74701445 = 5 x 7 x 13 x 19 x 8641
Step 4: Therefore, the least common multiple of 8641 and 8645 is 74701445.