Least Common Multiple of 9131 and 9135
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 9135 the smallest integer that is 83411685 that is divisible by both numbers.
Least Common Multiple (LCM) of 9131 and 9135 is 83411685.
LCM(9131,9135) = 83411685
LCM of 9131 and 9135
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9131 and 9135 by Prime method
- Least Common Multiple of 9131 and 9135 with GCF Formula
LCM of 9131 and 9135 is 83411685
Least common multiple can be found by multiplying the highest exponent prime factors of 9131 and 9135. First we will calculate the prime factors of 9131 and 9135.
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 9135
| 3 | 9135 |
| 3 | 3045 |
| 5 | 1015 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 9135 are 3, 5, 7,29. Prime factorization of 9135 in exponential form is:
9135 = 32×51×71×291
Now multiplying the highest exponent prime factors to calculate the LCM of 9131 and 9135.
LCM(9131,9135) = 32×51×71×231×291×3971
LCM(9131,9135) = 83411685
Factors of 9131
List of positive integer factors of 9131 that divides 9131 without a remainder.
1, 23, 397, 9131
Factors of 9135
List of positive integer factors of 9135 that divides 9135 without a remainder.
1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135
Least Common Multiple of 9131 and 9135 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 9135, than apply into the LCM equation.
GCF(9131,9135) = 1
LCM(9131,9135) = ( 9131 × 9135) / 1
LCM(9131,9135) = 83411685 / 1
LCM(9131,9135) = 83411685
Properties of LCM 9131 and 9135
(i) The LCM of 9135 and 9131 is associative
LCM of 9131 and 9135 = LCM of 9135 and 9131
Related Least Common Multiples of 9131
Related Least Common Multiples of 9135
Frequently Asked Questions on LCM of 9131 and 9135
1. What is the LCM of 9131 and 9135?
Answer: LCM of 9131 and 9135 is 83411685.
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 9135?
Answer: Factors of 9135 are 1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135. There are 24 integers that are factors of 9135. The greatest factor of 9135 is 9135.
4. How to Find the LCM of 9131 and 9135?
Answer:
Least Common Multiple of 9131 and 9135 = 83411685
Step 1: Find the prime factorization of 9131
9131 = 23 x 397
Step 2: Find the prime factorization of 9135
9135 = 3 x 3 x 5 x 7 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83411685 = 3 x 3 x 5 x 7 x 23 x 29 x 397
Step 4: Therefore, the least common multiple of 9131 and 9135 is 83411685.