Least Common Multiple of 9139 and 9143
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9139 and 9143 the smallest integer that is 83557877 that is divisible by both numbers.
Least Common Multiple (LCM) of 9139 and 9143 is 83557877.
LCM(9139,9143) = 83557877
LCM of 9139 and 9143
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9139 and 9143 by Prime method
- Least Common Multiple of 9139 and 9143 with GCF Formula
LCM of 9139 and 9143 is 83557877
Least common multiple can be found by multiplying the highest exponent prime factors of 9139 and 9143. First we will calculate the prime factors of 9139 and 9143.
Prime Factorization of 9139
| 13 | 9139 |
| 19 | 703 |
| 37 | 37 |
| 1 |
Prime factors of 9139 are 13, 19,37. Prime factorization of 9139 in exponential form is:
9139 = 131×191×371
Prime Factorization of 9143
| 41 | 9143 |
| 223 | 223 |
| 1 |
Prime factors of 9143 are 41,223. Prime factorization of 9143 in exponential form is:
9143 = 411×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 9139 and 9143.
LCM(9139,9143) = 131×191×371×411×2231
LCM(9139,9143) = 83557877
Factors of 9139
List of positive integer factors of 9139 that divides 9139 without a remainder.
1, 13, 19, 37, 247, 481, 703, 9139
Factors of 9143
List of positive integer factors of 9143 that divides 9143 without a remainder.
1, 41, 223, 9143
Least Common Multiple of 9139 and 9143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9139 and 9143, than apply into the LCM equation.
GCF(9139,9143) = 1
LCM(9139,9143) = ( 9139 × 9143) / 1
LCM(9139,9143) = 83557877 / 1
LCM(9139,9143) = 83557877
Properties of LCM 9139 and 9143
(i) The LCM of 9143 and 9139 is associative
LCM of 9139 and 9143 = LCM of 9143 and 9139
Related Least Common Multiples of 9139
Related Least Common Multiples of 9143
Frequently Asked Questions on LCM of 9139 and 9143
1. What is the LCM of 9139 and 9143?
Answer: LCM of 9139 and 9143 is 83557877.
2. What are the Factors of 9139?
Answer: Factors of 9139 are 1, 13, 19, 37, 247, 481, 703, 9139. There are 8 integers that are factors of 9139. The greatest factor of 9139 is 9139.
3. What are the Factors of 9143?
Answer: Factors of 9143 are 1, 41, 223, 9143. There are 4 integers that are factors of 9143. The greatest factor of 9143 is 9143.
4. How to Find the LCM of 9139 and 9143?
Answer:
Least Common Multiple of 9139 and 9143 = 83557877
Step 1: Find the prime factorization of 9139
9139 = 13 x 19 x 37
Step 2: Find the prime factorization of 9143
9143 = 41 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83557877 = 13 x 19 x 37 x 41 x 223
Step 4: Therefore, the least common multiple of 9139 and 9143 is 83557877.