Least Common Multiple of 9254 and 9261
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9254 and 9261 the smallest integer that is 12243042 that is divisible by both numbers.
Least Common Multiple (LCM) of 9254 and 9261 is 12243042.
LCM(9254,9261) = 12243042
LCM of 9254 and 9261
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9254 and 9261 by Prime method
- Least Common Multiple of 9254 and 9261 with GCF Formula
LCM of 9254 and 9261 is 12243042
Least common multiple can be found by multiplying the highest exponent prime factors of 9254 and 9261. First we will calculate the prime factors of 9254 and 9261.
Prime Factorization of 9254
| 2 | 9254 |
| 7 | 4627 |
| 661 | 661 |
| 1 |
Prime factors of 9254 are 2, 7,661. Prime factorization of 9254 in exponential form is:
9254 = 21×71×6611
Prime Factorization of 9261
| 3 | 9261 |
| 3 | 3087 |
| 3 | 1029 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 9261 are 3,7. Prime factorization of 9261 in exponential form is:
9261 = 33×73
Now multiplying the highest exponent prime factors to calculate the LCM of 9254 and 9261.
LCM(9254,9261) = 21×33×73×6611
LCM(9254,9261) = 12243042
Factors of 9254
List of positive integer factors of 9254 that divides 9254 without a remainder.
1, 2, 7, 14, 661, 1322, 4627, 9254
Factors of 9261
List of positive integer factors of 9261 that divides 9261 without a remainder.
1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261
Least Common Multiple of 9254 and 9261 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9254 and 9261, than apply into the LCM equation.
GCF(9254,9261) = 7
LCM(9254,9261) = ( 9254 × 9261) / 7
LCM(9254,9261) = 85701294 / 7
LCM(9254,9261) = 12243042
Properties of LCM 9254 and 9261
(i) The LCM of 9261 and 9254 is associative
LCM of 9254 and 9261 = LCM of 9261 and 9254
Related Least Common Multiples of 9254
Related Least Common Multiples of 9261
Frequently Asked Questions on LCM of 9254 and 9261
1. What is the LCM of 9254 and 9261?
Answer: LCM of 9254 and 9261 is 12243042.
2. What are the Factors of 9254?
Answer: Factors of 9254 are 1, 2, 7, 14, 661, 1322, 4627, 9254. There are 8 integers that are factors of 9254. The greatest factor of 9254 is 9254.
3. What are the Factors of 9261?
Answer: Factors of 9261 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261. There are 16 integers that are factors of 9261. The greatest factor of 9261 is 9261.
4. How to Find the LCM of 9254 and 9261?
Answer:
Least Common Multiple of 9254 and 9261 = 12243042
Step 1: Find the prime factorization of 9254
9254 = 2 x 7 x 661
Step 2: Find the prime factorization of 9261
9261 = 3 x 3 x 3 x 7 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12243042 = 2 x 3 x 3 x 3 x 7 x 7 x 7 x 661
Step 4: Therefore, the least common multiple of 9254 and 9261 is 12243042.