Least Common Multiple of 9269 and 9274
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9269 and 9274 the smallest integer that is 85960706 that is divisible by both numbers.
Least Common Multiple (LCM) of 9269 and 9274 is 85960706.
LCM(9269,9274) = 85960706
LCM of 9269 and 9274
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9269 and 9274 by Prime method
- Least Common Multiple of 9269 and 9274 with GCF Formula
LCM of 9269 and 9274 is 85960706
Least common multiple can be found by multiplying the highest exponent prime factors of 9269 and 9274. First we will calculate the prime factors of 9269 and 9274.
Prime Factorization of 9269
| 13 | 9269 |
| 23 | 713 |
| 31 | 31 |
| 1 |
Prime factors of 9269 are 13, 23,31. Prime factorization of 9269 in exponential form is:
9269 = 131×231×311
Prime Factorization of 9274
| 2 | 9274 |
| 4637 | 4637 |
| 1 |
Prime factors of 9274 are 2,4637. Prime factorization of 9274 in exponential form is:
9274 = 21×46371
Now multiplying the highest exponent prime factors to calculate the LCM of 9269 and 9274.
LCM(9269,9274) = 21×131×231×311×46371
LCM(9269,9274) = 85960706
Factors of 9269
List of positive integer factors of 9269 that divides 9269 without a remainder.
1, 13, 23, 31, 299, 403, 713, 9269
Factors of 9274
List of positive integer factors of 9274 that divides 9274 without a remainder.
1, 2, 4637, 9274
Least Common Multiple of 9269 and 9274 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9269 and 9274, than apply into the LCM equation.
GCF(9269,9274) = 1
LCM(9269,9274) = ( 9269 × 9274) / 1
LCM(9269,9274) = 85960706 / 1
LCM(9269,9274) = 85960706
Properties of LCM 9269 and 9274
(i) The LCM of 9274 and 9269 is associative
LCM of 9269 and 9274 = LCM of 9274 and 9269
Related Least Common Multiples of 9269
Related Least Common Multiples of 9274
Frequently Asked Questions on LCM of 9269 and 9274
1. What is the LCM of 9269 and 9274?
Answer: LCM of 9269 and 9274 is 85960706.
2. What are the Factors of 9269?
Answer: Factors of 9269 are 1, 13, 23, 31, 299, 403, 713, 9269. There are 8 integers that are factors of 9269. The greatest factor of 9269 is 9269.
3. What are the Factors of 9274?
Answer: Factors of 9274 are 1, 2, 4637, 9274. There are 4 integers that are factors of 9274. The greatest factor of 9274 is 9274.
4. How to Find the LCM of 9269 and 9274?
Answer:
Least Common Multiple of 9269 and 9274 = 85960706
Step 1: Find the prime factorization of 9269
9269 = 13 x 23 x 31
Step 2: Find the prime factorization of 9274
9274 = 2 x 4637
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 85960706 = 2 x 13 x 23 x 31 x 4637
Step 4: Therefore, the least common multiple of 9269 and 9274 is 85960706.