Least Common Multiple of 8142 and 8143
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8142 and 8143 the smallest integer that is 66300306 that is divisible by both numbers.
Least Common Multiple (LCM) of 8142 and 8143 is 66300306.
LCM(8142,8143) = 66300306
LCM of 8142 and 8143
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8142 and 8143 by Prime method
- Least Common Multiple of 8142 and 8143 with GCF Formula
LCM of 8142 and 8143 is 66300306
Least common multiple can be found by multiplying the highest exponent prime factors of 8142 and 8143. First we will calculate the prime factors of 8142 and 8143.
Prime Factorization of 8142
| 2 | 8142 |
| 3 | 4071 |
| 23 | 1357 |
| 59 | 59 |
| 1 |
Prime factors of 8142 are 2, 3, 23,59. Prime factorization of 8142 in exponential form is:
8142 = 21×31×231×591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8142 and 8143.
LCM(8142,8143) = 21×31×171×231×591×4791
LCM(8142,8143) = 66300306
Factors of 8142
List of positive integer factors of 8142 that divides 8142 without a remainder.
1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142
Factors of 8143
List of positive integer factors of 8143 that divides 8143 without a remainder.
1, 17, 479, 8143
Least Common Multiple of 8142 and 8143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8142 and 8143, than apply into the LCM equation.
GCF(8142,8143) = 1
LCM(8142,8143) = ( 8142 × 8143) / 1
LCM(8142,8143) = 66300306 / 1
LCM(8142,8143) = 66300306
Properties of LCM 8142 and 8143
(i) The LCM of 8143 and 8142 is associative
LCM of 8142 and 8143 = LCM of 8143 and 8142
Related Least Common Multiples of 8142
Related Least Common Multiples of 8143
Frequently Asked Questions on LCM of 8142 and 8143
1. What is the LCM of 8142 and 8143?
Answer: LCM of 8142 and 8143 is 66300306.
2. What are the Factors of 8142?
Answer: Factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142. There are 16 integers that are factors of 8142. The greatest factor of 8142 is 8142.
3. 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.
4. How to Find the LCM of 8142 and 8143?
Answer:
Least Common Multiple of 8142 and 8143 = 66300306
Step 1: Find the prime factorization of 8142
8142 = 2 x 3 x 23 x 59
Step 2: Find the prime factorization of 8143
8143 = 17 x 479
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66300306 = 2 x 3 x 17 x 23 x 59 x 479
Step 4: Therefore, the least common multiple of 8142 and 8143 is 66300306.