Least Common Multiple of 8645 and 8651
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 8651 the smallest integer that is 74787895 that is divisible by both numbers.
Least Common Multiple (LCM) of 8645 and 8651 is 74787895.
LCM(8645,8651) = 74787895
LCM of 8645 and 8651
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8645 and 8651 by Prime method
- Least Common Multiple of 8645 and 8651 with GCF Formula
LCM of 8645 and 8651 is 74787895
Least common multiple can be found by multiplying the highest exponent prime factors of 8645 and 8651. First we will calculate the prime factors of 8645 and 8651.
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 8651
| 41 | 8651 |
| 211 | 211 |
| 1 |
Prime factors of 8651 are 41,211. Prime factorization of 8651 in exponential form is:
8651 = 411×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 8645 and 8651.
LCM(8645,8651) = 51×71×131×191×411×2111
LCM(8645,8651) = 74787895
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 8651
List of positive integer factors of 8651 that divides 8651 without a remainder.
1, 41, 211, 8651
Least Common Multiple of 8645 and 8651 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 8651, than apply into the LCM equation.
GCF(8645,8651) = 1
LCM(8645,8651) = ( 8645 × 8651) / 1
LCM(8645,8651) = 74787895 / 1
LCM(8645,8651) = 74787895
Properties of LCM 8645 and 8651
(i) The LCM of 8651 and 8645 is associative
LCM of 8645 and 8651 = LCM of 8651 and 8645
Related Least Common Multiples of 8645
Related Least Common Multiples of 8651
Frequently Asked Questions on LCM of 8645 and 8651
1. What is the LCM of 8645 and 8651?
Answer: LCM of 8645 and 8651 is 74787895.
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 8651?
Answer: Factors of 8651 are 1, 41, 211, 8651. There are 4 integers that are factors of 8651. The greatest factor of 8651 is 8651.
4. How to Find the LCM of 8645 and 8651?
Answer:
Least Common Multiple of 8645 and 8651 = 74787895
Step 1: Find the prime factorization of 8645
8645 = 5 x 7 x 13 x 19
Step 2: Find the prime factorization of 8651
8651 = 41 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74787895 = 5 x 7 x 13 x 19 x 41 x 211
Step 4: Therefore, the least common multiple of 8645 and 8651 is 74787895.