Least Common Multiple of 2425 and 2429
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2425 and 2429 the smallest integer that is 5890325 that is divisible by both numbers.
Least Common Multiple (LCM) of 2425 and 2429 is 5890325.
LCM(2425,2429) = 5890325
LCM of 2425 and 2429
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2425 and 2429 by Prime method
- Least Common Multiple of 2425 and 2429 with GCF Formula
LCM of 2425 and 2429 is 5890325
Least common multiple can be found by multiplying the highest exponent prime factors of 2425 and 2429. First we will calculate the prime factors of 2425 and 2429.
Prime Factorization of 2425
| 5 | 2425 |
| 5 | 485 |
| 97 | 97 |
| 1 |
Prime factors of 2425 are 5,97. Prime factorization of 2425 in exponential form is:
2425 = 52×971
Prime Factorization of 2429
| 7 | 2429 |
| 347 | 347 |
| 1 |
Prime factors of 2429 are 7,347. Prime factorization of 2429 in exponential form is:
2429 = 71×3471
Now multiplying the highest exponent prime factors to calculate the LCM of 2425 and 2429.
LCM(2425,2429) = 52×71×971×3471
LCM(2425,2429) = 5890325
Factors of 2425
List of positive integer factors of 2425 that divides 2425 without a remainder.
1, 5, 25, 97, 485, 2425
Factors of 2429
List of positive integer factors of 2429 that divides 2429 without a remainder.
1, 7, 347, 2429
Least Common Multiple of 2425 and 2429 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2425 and 2429, than apply into the LCM equation.
GCF(2425,2429) = 1
LCM(2425,2429) = ( 2425 × 2429) / 1
LCM(2425,2429) = 5890325 / 1
LCM(2425,2429) = 5890325
Properties of LCM 2425 and 2429
(i) The LCM of 2429 and 2425 is associative
LCM of 2425 and 2429 = LCM of 2429 and 2425
Related Least Common Multiples of 2425
Related Least Common Multiples of 2429
Frequently Asked Questions on LCM of 2425 and 2429
1. What is the LCM of 2425 and 2429?
Answer: LCM of 2425 and 2429 is 5890325.
2. What are the Factors of 2425?
Answer: Factors of 2425 are 1, 5, 25, 97, 485, 2425. There are 6 integers that are factors of 2425. The greatest factor of 2425 is 2425.
3. What are the Factors of 2429?
Answer: Factors of 2429 are 1, 7, 347, 2429. There are 4 integers that are factors of 2429. The greatest factor of 2429 is 2429.
4. How to Find the LCM of 2425 and 2429?
Answer:
Least Common Multiple of 2425 and 2429 = 5890325
Step 1: Find the prime factorization of 2425
2425 = 5 x 5 x 97
Step 2: Find the prime factorization of 2429
2429 = 7 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5890325 = 5 x 5 x 7 x 97 x 347
Step 4: Therefore, the least common multiple of 2425 and 2429 is 5890325.