Least Common Multiple of 9425 and 9429
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9425 and 9429 the smallest integer that is 88868325 that is divisible by both numbers.
Least Common Multiple (LCM) of 9425 and 9429 is 88868325.
LCM(9425,9429) = 88868325
LCM of 9425 and 9429
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9425 and 9429 by Prime method
- Least Common Multiple of 9425 and 9429 with GCF Formula
LCM of 9425 and 9429 is 88868325
Least common multiple can be found by multiplying the highest exponent prime factors of 9425 and 9429. First we will calculate the prime factors of 9425 and 9429.
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
Prime Factorization of 9429
| 3 | 9429 |
| 7 | 3143 |
| 449 | 449 |
| 1 |
Prime factors of 9429 are 3, 7,449. Prime factorization of 9429 in exponential form is:
9429 = 31×71×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 9425 and 9429.
LCM(9425,9429) = 31×52×71×131×291×4491
LCM(9425,9429) = 88868325
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
Factors of 9429
List of positive integer factors of 9429 that divides 9429 without a remainder.
1, 3, 7, 21, 449, 1347, 3143, 9429
Least Common Multiple of 9425 and 9429 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9425 and 9429, than apply into the LCM equation.
GCF(9425,9429) = 1
LCM(9425,9429) = ( 9425 × 9429) / 1
LCM(9425,9429) = 88868325 / 1
LCM(9425,9429) = 88868325
Properties of LCM 9425 and 9429
(i) The LCM of 9429 and 9425 is associative
LCM of 9425 and 9429 = LCM of 9429 and 9425
Related Least Common Multiples of 9425
Related Least Common Multiples of 9429
Frequently Asked Questions on LCM of 9425 and 9429
1. What is the LCM of 9425 and 9429?
Answer: LCM of 9425 and 9429 is 88868325.
2. 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.
3. What are the Factors of 9429?
Answer: Factors of 9429 are 1, 3, 7, 21, 449, 1347, 3143, 9429. There are 8 integers that are factors of 9429. The greatest factor of 9429 is 9429.
4. How to Find the LCM of 9425 and 9429?
Answer:
Least Common Multiple of 9425 and 9429 = 88868325
Step 1: Find the prime factorization of 9425
9425 = 5 x 5 x 13 x 29
Step 2: Find the prime factorization of 9429
9429 = 3 x 7 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88868325 = 3 x 5 x 5 x 7 x 13 x 29 x 449
Step 4: Therefore, the least common multiple of 9425 and 9429 is 88868325.