Least Common Multiple of 7429 and 7431
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7429 and 7431 the smallest integer that is 55204899 that is divisible by both numbers.
Least Common Multiple (LCM) of 7429 and 7431 is 55204899.
LCM(7429,7431) = 55204899
LCM of 7429 and 7431
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7429 and 7431 by Prime method
- Least Common Multiple of 7429 and 7431 with GCF Formula
LCM of 7429 and 7431 is 55204899
Least common multiple can be found by multiplying the highest exponent prime factors of 7429 and 7431. First we will calculate the prime factors of 7429 and 7431.
Prime Factorization of 7429
| 17 | 7429 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 7429 are 17, 19,23. Prime factorization of 7429 in exponential form is:
7429 = 171×191×231
Prime Factorization of 7431
| 3 | 7431 |
| 2477 | 2477 |
| 1 |
Prime factors of 7431 are 3,2477. Prime factorization of 7431 in exponential form is:
7431 = 31×24771
Now multiplying the highest exponent prime factors to calculate the LCM of 7429 and 7431.
LCM(7429,7431) = 31×171×191×231×24771
LCM(7429,7431) = 55204899
Factors of 7429
List of positive integer factors of 7429 that divides 7429 without a remainder.
1, 17, 19, 23, 323, 391, 437, 7429
Factors of 7431
List of positive integer factors of 7431 that divides 7431 without a remainder.
1, 3, 2477, 7431
Least Common Multiple of 7429 and 7431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7429 and 7431, than apply into the LCM equation.
GCF(7429,7431) = 1
LCM(7429,7431) = ( 7429 × 7431) / 1
LCM(7429,7431) = 55204899 / 1
LCM(7429,7431) = 55204899
Properties of LCM 7429 and 7431
(i) The LCM of 7431 and 7429 is associative
LCM of 7429 and 7431 = LCM of 7431 and 7429
Related Least Common Multiples of 7429
Related Least Common Multiples of 7431
Frequently Asked Questions on LCM of 7429 and 7431
1. What is the LCM of 7429 and 7431?
Answer: LCM of 7429 and 7431 is 55204899.
2. What are the Factors of 7429?
Answer: Factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429. There are 8 integers that are factors of 7429. The greatest factor of 7429 is 7429.
3. What are the Factors of 7431?
Answer: Factors of 7431 are 1, 3, 2477, 7431. There are 4 integers that are factors of 7431. The greatest factor of 7431 is 7431.
4. How to Find the LCM of 7429 and 7431?
Answer:
Least Common Multiple of 7429 and 7431 = 55204899
Step 1: Find the prime factorization of 7429
7429 = 17 x 19 x 23
Step 2: Find the prime factorization of 7431
7431 = 3 x 2477
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 55204899 = 3 x 17 x 19 x 23 x 2477
Step 4: Therefore, the least common multiple of 7429 and 7431 is 55204899.
