Least Common Multiple of 10143 and 10147
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10143 and 10147 the smallest integer that is 102921021 that is divisible by both numbers.
Least Common Multiple (LCM) of 10143 and 10147 is 102921021.
LCM(10143,10147) = 102921021
LCM of 10143 and 10147
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10143 and 10147 by Prime method
- Least Common Multiple of 10143 and 10147 with GCF Formula
LCM of 10143 and 10147 is 102921021
Least common multiple can be found by multiplying the highest exponent prime factors of 10143 and 10147. First we will calculate the prime factors of 10143 and 10147.
Prime Factorization of 10143
| 3 | 10143 |
| 3 | 3381 |
| 7 | 1127 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 10143 are 3, 7,23. Prime factorization of 10143 in exponential form is:
10143 = 32×72×231
Prime Factorization of 10147
| 73 | 10147 |
| 139 | 139 |
| 1 |
Prime factors of 10147 are 73,139. Prime factorization of 10147 in exponential form is:
10147 = 731×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 10143 and 10147.
LCM(10143,10147) = 32×72×231×731×1391
LCM(10143,10147) = 102921021
Factors of 10143
List of positive integer factors of 10143 that divides 10143 without a remainder.
1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143
Factors of 10147
List of positive integer factors of 10147 that divides 10147 without a remainder.
1, 73, 139, 10147
Least Common Multiple of 10143 and 10147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10143 and 10147, than apply into the LCM equation.
GCF(10143,10147) = 1
LCM(10143,10147) = ( 10143 × 10147) / 1
LCM(10143,10147) = 102921021 / 1
LCM(10143,10147) = 102921021
Properties of LCM 10143 and 10147
(i) The LCM of 10147 and 10143 is associative
LCM of 10143 and 10147 = LCM of 10147 and 10143
Related Least Common Multiples of 10143
Related Least Common Multiples of 10147
Frequently Asked Questions on LCM of 10143 and 10147
1. What is the LCM of 10143 and 10147?
Answer: LCM of 10143 and 10147 is 102921021.
2. What are the Factors of 10143?
Answer: Factors of 10143 are 1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143. There are 18 integers that are factors of 10143. The greatest factor of 10143 is 10143.
3. What are the Factors of 10147?
Answer: Factors of 10147 are 1, 73, 139, 10147. There are 4 integers that are factors of 10147. The greatest factor of 10147 is 10147.
4. How to Find the LCM of 10143 and 10147?
Answer:
Least Common Multiple of 10143 and 10147 = 102921021
Step 1: Find the prime factorization of 10143
10143 = 3 x 3 x 7 x 7 x 23
Step 2: Find the prime factorization of 10147
10147 = 73 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 102921021 = 3 x 3 x 7 x 7 x 23 x 73 x 139
Step 4: Therefore, the least common multiple of 10143 and 10147 is 102921021.