Least Common Multiple of 7427 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 7427 and 7431 the smallest integer that is 55190037 that is divisible by both numbers.
Least Common Multiple (LCM) of 7427 and 7431 is 55190037.
LCM(7427,7431) = 55190037
LCM of 7427 and 7431
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7427 and 7431 by Prime method
- Least Common Multiple of 7427 and 7431 with GCF Formula
LCM of 7427 and 7431 is 55190037
Least common multiple can be found by multiplying the highest exponent prime factors of 7427 and 7431. First we will calculate the prime factors of 7427 and 7431.
Prime Factorization of 7427
| 7 | 7427 |
| 1061 | 1061 |
| 1 |
Prime factors of 7427 are 7,1061. Prime factorization of 7427 in exponential form is:
7427 = 71×10611
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 7427 and 7431.
LCM(7427,7431) = 31×71×10611×24771
LCM(7427,7431) = 55190037
Factors of 7427
List of positive integer factors of 7427 that divides 7427 without a remainder.
1, 7, 1061, 7427
Factors of 7431
List of positive integer factors of 7431 that divides 7431 without a remainder.
1, 3, 2477, 7431
Least Common Multiple of 7427 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 7427 and 7431, than apply into the LCM equation.
GCF(7427,7431) = 1
LCM(7427,7431) = ( 7427 × 7431) / 1
LCM(7427,7431) = 55190037 / 1
LCM(7427,7431) = 55190037
Properties of LCM 7427 and 7431
(i) The LCM of 7431 and 7427 is associative
LCM of 7427 and 7431 = LCM of 7431 and 7427
Related Least Common Multiples of 7427
Related Least Common Multiples of 7431
Frequently Asked Questions on LCM of 7427 and 7431
1. What is the LCM of 7427 and 7431?
Answer: LCM of 7427 and 7431 is 55190037.
2. What are the Factors of 7427?
Answer: Factors of 7427 are 1, 7, 1061, 7427. There are 4 integers that are factors of 7427. The greatest factor of 7427 is 7427.
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 7427 and 7431?
Answer:
Least Common Multiple of 7427 and 7431 = 55190037
Step 1: Find the prime factorization of 7427
7427 = 7 x 1061
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 = 55190037 = 3 x 7 x 1061 x 2477
Step 4: Therefore, the least common multiple of 7427 and 7431 is 55190037.