Least Common Multiple of 8143 and 8149
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8143 and 8149 the smallest integer that is 66357307 that is divisible by both numbers.
Least Common Multiple (LCM) of 8143 and 8149 is 66357307.
LCM(8143,8149) = 66357307
LCM of 8143 and 8149
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8143 and 8149 by Prime method
- Least Common Multiple of 8143 and 8149 with GCF Formula
LCM of 8143 and 8149 is 66357307
Least common multiple can be found by multiplying the highest exponent prime factors of 8143 and 8149. First we will calculate the prime factors of 8143 and 8149.
Prime Factorization of 8143
| 17 | 8143 |
| 479 | 479 |
| 1 |
Prime factors of 8143 are 17,479. Prime factorization of 8143 in exponential form is:
8143 = 171×4791
Prime Factorization of 8149
| 29 | 8149 |
| 281 | 281 |
| 1 |
Prime factors of 8149 are 29,281. Prime factorization of 8149 in exponential form is:
8149 = 291×2811
Now multiplying the highest exponent prime factors to calculate the LCM of 8143 and 8149.
LCM(8143,8149) = 171×291×2811×4791
LCM(8143,8149) = 66357307
Factors of 8143
List of positive integer factors of 8143 that divides 8143 without a remainder.
1, 17, 479, 8143
Factors of 8149
List of positive integer factors of 8149 that divides 8149 without a remainder.
1, 29, 281, 8149
Least Common Multiple of 8143 and 8149 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8143 and 8149, than apply into the LCM equation.
GCF(8143,8149) = 1
LCM(8143,8149) = ( 8143 × 8149) / 1
LCM(8143,8149) = 66357307 / 1
LCM(8143,8149) = 66357307
Properties of LCM 8143 and 8149
(i) The LCM of 8149 and 8143 is associative
LCM of 8143 and 8149 = LCM of 8149 and 8143
Related Least Common Multiples of 8143
Related Least Common Multiples of 8149
Frequently Asked Questions on LCM of 8143 and 8149
1. What is the LCM of 8143 and 8149?
Answer: LCM of 8143 and 8149 is 66357307.
2. What are the Factors of 8143?
Answer: Factors of 8143 are 1, 17, 479, 8143. There are 4 integers that are factors of 8143. The greatest factor of 8143 is 8143.
3. What are the Factors of 8149?
Answer: Factors of 8149 are 1, 29, 281, 8149. There are 4 integers that are factors of 8149. The greatest factor of 8149 is 8149.
4. How to Find the LCM of 8143 and 8149?
Answer:
Least Common Multiple of 8143 and 8149 = 66357307
Step 1: Find the prime factorization of 8143
8143 = 17 x 479
Step 2: Find the prime factorization of 8149
8149 = 29 x 281
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66357307 = 17 x 29 x 281 x 479
Step 4: Therefore, the least common multiple of 8143 and 8149 is 66357307.