Least Common Multiple of 5141 and 5146
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5141 and 5146 the smallest integer that is 26455586 that is divisible by both numbers.
Least Common Multiple (LCM) of 5141 and 5146 is 26455586.
LCM(5141,5146) = 26455586
LCM of 5141 and 5146
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5141 and 5146 by Prime method
- Least Common Multiple of 5141 and 5146 with GCF Formula
LCM of 5141 and 5146 is 26455586
Least common multiple can be found by multiplying the highest exponent prime factors of 5141 and 5146. First we will calculate the prime factors of 5141 and 5146.
Prime Factorization of 5141
| 53 | 5141 |
| 97 | 97 |
| 1 |
Prime factors of 5141 are 53,97. Prime factorization of 5141 in exponential form is:
5141 = 531×971
Prime Factorization of 5146
| 2 | 5146 |
| 31 | 2573 |
| 83 | 83 |
| 1 |
Prime factors of 5146 are 2, 31,83. Prime factorization of 5146 in exponential form is:
5146 = 21×311×831
Now multiplying the highest exponent prime factors to calculate the LCM of 5141 and 5146.
LCM(5141,5146) = 21×311×531×831×971
LCM(5141,5146) = 26455586
Factors of 5141
List of positive integer factors of 5141 that divides 5141 without a remainder.
1, 53, 97, 5141
Factors of 5146
List of positive integer factors of 5146 that divides 5146 without a remainder.
1, 2, 31, 62, 83, 166, 2573, 5146
Least Common Multiple of 5141 and 5146 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5141 and 5146, than apply into the LCM equation.
GCF(5141,5146) = 1
LCM(5141,5146) = ( 5141 × 5146) / 1
LCM(5141,5146) = 26455586 / 1
LCM(5141,5146) = 26455586
Properties of LCM 5141 and 5146
(i) The LCM of 5146 and 5141 is associative
LCM of 5141 and 5146 = LCM of 5146 and 5141
Related Least Common Multiples of 5141
Related Least Common Multiples of 5146
Frequently Asked Questions on LCM of 5141 and 5146
1. What is the LCM of 5141 and 5146?
Answer: LCM of 5141 and 5146 is 26455586.
2. What are the Factors of 5141?
Answer: Factors of 5141 are 1, 53, 97, 5141. There are 4 integers that are factors of 5141. The greatest factor of 5141 is 5141.
3. What are the Factors of 5146?
Answer: Factors of 5146 are 1, 2, 31, 62, 83, 166, 2573, 5146. There are 8 integers that are factors of 5146. The greatest factor of 5146 is 5146.
4. How to Find the LCM of 5141 and 5146?
Answer:
Least Common Multiple of 5141 and 5146 = 26455586
Step 1: Find the prime factorization of 5141
5141 = 53 x 97
Step 2: Find the prime factorization of 5146
5146 = 2 x 31 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26455586 = 2 x 31 x 53 x 83 x 97
Step 4: Therefore, the least common multiple of 5141 and 5146 is 26455586.