Least Common Multiple of 9418 and 9425
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9418 and 9425 the smallest integer that is 88764650 that is divisible by both numbers.
Least Common Multiple (LCM) of 9418 and 9425 is 88764650.
LCM(9418,9425) = 88764650
LCM of 9418 and 9425
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9418 and 9425 by Prime method
- Least Common Multiple of 9418 and 9425 with GCF Formula
LCM of 9418 and 9425 is 88764650
Least common multiple can be found by multiplying the highest exponent prime factors of 9418 and 9425. First we will calculate the prime factors of 9418 and 9425.
Prime Factorization of 9418
| 2 | 9418 |
| 17 | 4709 |
| 277 | 277 |
| 1 |
Prime factors of 9418 are 2, 17,277. Prime factorization of 9418 in exponential form is:
9418 = 21×171×2771
Prime Factorization of 9425
| 5 | 9425 |
| 5 | 1885 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 9425 are 5, 13,29. Prime factorization of 9425 in exponential form is:
9425 = 52×131×291
Now multiplying the highest exponent prime factors to calculate the LCM of 9418 and 9425.
LCM(9418,9425) = 21×52×131×171×291×2771
LCM(9418,9425) = 88764650
Factors of 9418
List of positive integer factors of 9418 that divides 9418 without a remainder.
1, 2, 17, 34, 277, 554, 4709, 9418
Factors of 9425
List of positive integer factors of 9425 that divides 9425 without a remainder.
1, 5, 13, 25, 29, 65, 145, 325, 377, 725, 1885, 9425
Least Common Multiple of 9418 and 9425 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9418 and 9425, than apply into the LCM equation.
GCF(9418,9425) = 1
LCM(9418,9425) = ( 9418 × 9425) / 1
LCM(9418,9425) = 88764650 / 1
LCM(9418,9425) = 88764650
Properties of LCM 9418 and 9425
(i) The LCM of 9425 and 9418 is associative
LCM of 9418 and 9425 = LCM of 9425 and 9418
Related Least Common Multiples of 9418
Related Least Common Multiples of 9425
Frequently Asked Questions on LCM of 9418 and 9425
1. What is the LCM of 9418 and 9425?
Answer: LCM of 9418 and 9425 is 88764650.
2. What are the Factors of 9418?
Answer: Factors of 9418 are 1, 2, 17, 34, 277, 554, 4709, 9418. There are 8 integers that are factors of 9418. The greatest factor of 9418 is 9418.
3. What are the Factors of 9425?
Answer: Factors of 9425 are 1, 5, 13, 25, 29, 65, 145, 325, 377, 725, 1885, 9425. There are 12 integers that are factors of 9425. The greatest factor of 9425 is 9425.
4. How to Find the LCM of 9418 and 9425?
Answer:
Least Common Multiple of 9418 and 9425 = 88764650
Step 1: Find the prime factorization of 9418
9418 = 2 x 17 x 277
Step 2: Find the prime factorization of 9425
9425 = 5 x 5 x 13 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 = 88764650 = 2 x 5 x 5 x 13 x 17 x 29 x 277
Step 4: Therefore, the least common multiple of 9418 and 9425 is 88764650.