Least Common Multiple of 9131 and 9139
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9131 and 9139 the smallest integer that is 83448209 that is divisible by both numbers.
Least Common Multiple (LCM) of 9131 and 9139 is 83448209.
LCM(9131,9139) = 83448209
LCM of 9131 and 9139
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9131 and 9139 by Prime method
- Least Common Multiple of 9131 and 9139 with GCF Formula
LCM of 9131 and 9139 is 83448209
Least common multiple can be found by multiplying the highest exponent prime factors of 9131 and 9139. First we will calculate the prime factors of 9131 and 9139.
Prime Factorization of 9131
| 23 | 9131 |
| 397 | 397 |
| 1 |
Prime factors of 9131 are 23,397. Prime factorization of 9131 in exponential form is:
9131 = 231×3971
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9131 and 9139.
LCM(9131,9139) = 131×191×231×371×3971
LCM(9131,9139) = 83448209
Factors of 9131
List of positive integer factors of 9131 that divides 9131 without a remainder.
1, 23, 397, 9131
Factors of 9139
List of positive integer factors of 9139 that divides 9139 without a remainder.
1, 13, 19, 37, 247, 481, 703, 9139
Least Common Multiple of 9131 and 9139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9131 and 9139, than apply into the LCM equation.
GCF(9131,9139) = 1
LCM(9131,9139) = ( 9131 × 9139) / 1
LCM(9131,9139) = 83448209 / 1
LCM(9131,9139) = 83448209
Properties of LCM 9131 and 9139
(i) The LCM of 9139 and 9131 is associative
LCM of 9131 and 9139 = LCM of 9139 and 9131
Related Least Common Multiples of 9131
Related Least Common Multiples of 9139
Frequently Asked Questions on LCM of 9131 and 9139
1. What is the LCM of 9131 and 9139?
Answer: LCM of 9131 and 9139 is 83448209.
2. What are the Factors of 9131?
Answer: Factors of 9131 are 1, 23, 397, 9131. There are 4 integers that are factors of 9131. The greatest factor of 9131 is 9131.
3. 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.
4. How to Find the LCM of 9131 and 9139?
Answer:
Least Common Multiple of 9131 and 9139 = 83448209
Step 1: Find the prime factorization of 9131
9131 = 23 x 397
Step 2: Find the prime factorization of 9139
9139 = 13 x 19 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83448209 = 13 x 19 x 23 x 37 x 397
Step 4: Therefore, the least common multiple of 9131 and 9139 is 83448209.