Least Common Multiple of 5133 and 5141
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5133 and 5141 the smallest integer that is 26388753 that is divisible by both numbers.
Least Common Multiple (LCM) of 5133 and 5141 is 26388753.
LCM(5133,5141) = 26388753
LCM of 5133 and 5141
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5133 and 5141 by Prime method
- Least Common Multiple of 5133 and 5141 with GCF Formula
LCM of 5133 and 5141 is 26388753
Least common multiple can be found by multiplying the highest exponent prime factors of 5133 and 5141. First we will calculate the prime factors of 5133 and 5141.
Prime Factorization of 5133
| 3 | 5133 |
| 29 | 1711 |
| 59 | 59 |
| 1 |
Prime factors of 5133 are 3, 29,59. Prime factorization of 5133 in exponential form is:
5133 = 31×291×591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5133 and 5141.
LCM(5133,5141) = 31×291×531×591×971
LCM(5133,5141) = 26388753
Factors of 5133
List of positive integer factors of 5133 that divides 5133 without a remainder.
1, 3, 29, 59, 87, 177, 1711, 5133
Factors of 5141
List of positive integer factors of 5141 that divides 5141 without a remainder.
1, 53, 97, 5141
Least Common Multiple of 5133 and 5141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5133 and 5141, than apply into the LCM equation.
GCF(5133,5141) = 1
LCM(5133,5141) = ( 5133 × 5141) / 1
LCM(5133,5141) = 26388753 / 1
LCM(5133,5141) = 26388753
Properties of LCM 5133 and 5141
(i) The LCM of 5141 and 5133 is associative
LCM of 5133 and 5141 = LCM of 5141 and 5133
Related Least Common Multiples of 5133
Related Least Common Multiples of 5141
Frequently Asked Questions on LCM of 5133 and 5141
1. What is the LCM of 5133 and 5141?
Answer: LCM of 5133 and 5141 is 26388753.
2. What are the Factors of 5133?
Answer: Factors of 5133 are 1, 3, 29, 59, 87, 177, 1711, 5133. There are 8 integers that are factors of 5133. The greatest factor of 5133 is 5133.
3. 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.
4. How to Find the LCM of 5133 and 5141?
Answer:
Least Common Multiple of 5133 and 5141 = 26388753
Step 1: Find the prime factorization of 5133
5133 = 3 x 29 x 59
Step 2: Find the prime factorization of 5141
5141 = 53 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26388753 = 3 x 29 x 53 x 59 x 97
Step 4: Therefore, the least common multiple of 5133 and 5141 is 26388753.