Least Common Multiple of 9145 and 9149
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9145 and 9149 the smallest integer that is 83667605 that is divisible by both numbers.
Least Common Multiple (LCM) of 9145 and 9149 is 83667605.
LCM(9145,9149) = 83667605
LCM of 9145 and 9149
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9145 and 9149 by Prime method
- Least Common Multiple of 9145 and 9149 with GCF Formula
LCM of 9145 and 9149 is 83667605
Least common multiple can be found by multiplying the highest exponent prime factors of 9145 and 9149. First we will calculate the prime factors of 9145 and 9149.
Prime Factorization of 9145
| 5 | 9145 |
| 31 | 1829 |
| 59 | 59 |
| 1 |
Prime factors of 9145 are 5, 31,59. Prime factorization of 9145 in exponential form is:
9145 = 51×311×591
Prime Factorization of 9149
| 7 | 9149 |
| 1307 | 1307 |
| 1 |
Prime factors of 9149 are 7,1307. Prime factorization of 9149 in exponential form is:
9149 = 71×13071
Now multiplying the highest exponent prime factors to calculate the LCM of 9145 and 9149.
LCM(9145,9149) = 51×71×311×591×13071
LCM(9145,9149) = 83667605
Factors of 9145
List of positive integer factors of 9145 that divides 9145 without a remainder.
1, 5, 31, 59, 155, 295, 1829, 9145
Factors of 9149
List of positive integer factors of 9149 that divides 9149 without a remainder.
1, 7, 1307, 9149
Least Common Multiple of 9145 and 9149 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9145 and 9149, than apply into the LCM equation.
GCF(9145,9149) = 1
LCM(9145,9149) = ( 9145 × 9149) / 1
LCM(9145,9149) = 83667605 / 1
LCM(9145,9149) = 83667605
Properties of LCM 9145 and 9149
(i) The LCM of 9149 and 9145 is associative
LCM of 9145 and 9149 = LCM of 9149 and 9145
Related Least Common Multiples of 9145
Related Least Common Multiples of 9149
Frequently Asked Questions on LCM of 9145 and 9149
1. What is the LCM of 9145 and 9149?
Answer: LCM of 9145 and 9149 is 83667605.
2. What are the Factors of 9145?
Answer: Factors of 9145 are 1, 5, 31, 59, 155, 295, 1829, 9145. There are 8 integers that are factors of 9145. The greatest factor of 9145 is 9145.
3. What are the Factors of 9149?
Answer: Factors of 9149 are 1, 7, 1307, 9149. There are 4 integers that are factors of 9149. The greatest factor of 9149 is 9149.
4. How to Find the LCM of 9145 and 9149?
Answer:
Least Common Multiple of 9145 and 9149 = 83667605
Step 1: Find the prime factorization of 9145
9145 = 5 x 31 x 59
Step 2: Find the prime factorization of 9149
9149 = 7 x 1307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83667605 = 5 x 7 x 31 x 59 x 1307
Step 4: Therefore, the least common multiple of 9145 and 9149 is 83667605.