Least Common Multiple of 8642 and 8649
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8642 and 8649 the smallest integer that is 74744658 that is divisible by both numbers.
Least Common Multiple (LCM) of 8642 and 8649 is 74744658.
LCM(8642,8649) = 74744658
LCM of 8642 and 8649
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8642 and 8649 by Prime method
- Least Common Multiple of 8642 and 8649 with GCF Formula
LCM of 8642 and 8649 is 74744658
Least common multiple can be found by multiplying the highest exponent prime factors of 8642 and 8649. First we will calculate the prime factors of 8642 and 8649.
Prime Factorization of 8642
| 2 | 8642 |
| 29 | 4321 |
| 149 | 149 |
| 1 |
Prime factors of 8642 are 2, 29,149. Prime factorization of 8642 in exponential form is:
8642 = 21×291×1491
Prime Factorization of 8649
| 3 | 8649 |
| 3 | 2883 |
| 31 | 961 |
| 31 | 31 |
| 1 |
Prime factors of 8649 are 3,31. Prime factorization of 8649 in exponential form is:
8649 = 32×312
Now multiplying the highest exponent prime factors to calculate the LCM of 8642 and 8649.
LCM(8642,8649) = 21×32×291×312×1491
LCM(8642,8649) = 74744658
Factors of 8642
List of positive integer factors of 8642 that divides 8642 without a remainder.
1, 2, 29, 58, 149, 298, 4321, 8642
Factors of 8649
List of positive integer factors of 8649 that divides 8649 without a remainder.
1, 3, 9, 31, 93, 279, 961, 2883, 8649
Least Common Multiple of 8642 and 8649 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8642 and 8649, than apply into the LCM equation.
GCF(8642,8649) = 1
LCM(8642,8649) = ( 8642 × 8649) / 1
LCM(8642,8649) = 74744658 / 1
LCM(8642,8649) = 74744658
Properties of LCM 8642 and 8649
(i) The LCM of 8649 and 8642 is associative
LCM of 8642 and 8649 = LCM of 8649 and 8642
Related Least Common Multiples of 8642
Related Least Common Multiples of 8649
Frequently Asked Questions on LCM of 8642 and 8649
1. What is the LCM of 8642 and 8649?
Answer: LCM of 8642 and 8649 is 74744658.
2. What are the Factors of 8642?
Answer: Factors of 8642 are 1, 2, 29, 58, 149, 298, 4321, 8642. There are 8 integers that are factors of 8642. The greatest factor of 8642 is 8642.
3. What are the Factors of 8649?
Answer: Factors of 8649 are 1, 3, 9, 31, 93, 279, 961, 2883, 8649. There are 9 integers that are factors of 8649. The greatest factor of 8649 is 8649.
4. How to Find the LCM of 8642 and 8649?
Answer:
Least Common Multiple of 8642 and 8649 = 74744658
Step 1: Find the prime factorization of 8642
8642 = 2 x 29 x 149
Step 2: Find the prime factorization of 8649
8649 = 3 x 3 x 31 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 74744658 = 2 x 3 x 3 x 29 x 31 x 31 x 149
Step 4: Therefore, the least common multiple of 8642 and 8649 is 74744658.