Least Common Multiple of 5141 and 5145
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 5145 the smallest integer that is 26450445 that is divisible by both numbers.
Least Common Multiple (LCM) of 5141 and 5145 is 26450445.
LCM(5141,5145) = 26450445
LCM of 5141 and 5145
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5141 and 5145 by Prime method
- Least Common Multiple of 5141 and 5145 with GCF Formula
LCM of 5141 and 5145 is 26450445
Least common multiple can be found by multiplying the highest exponent prime factors of 5141 and 5145. First we will calculate the prime factors of 5141 and 5145.
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 5145
| 3 | 5145 |
| 5 | 1715 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 5145 are 3, 5,7. Prime factorization of 5145 in exponential form is:
5145 = 31×51×73
Now multiplying the highest exponent prime factors to calculate the LCM of 5141 and 5145.
LCM(5141,5145) = 31×51×73×531×971
LCM(5141,5145) = 26450445
Factors of 5141
List of positive integer factors of 5141 that divides 5141 without a remainder.
1, 53, 97, 5141
Factors of 5145
List of positive integer factors of 5145 that divides 5145 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145
Least Common Multiple of 5141 and 5145 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 5145, than apply into the LCM equation.
GCF(5141,5145) = 1
LCM(5141,5145) = ( 5141 × 5145) / 1
LCM(5141,5145) = 26450445 / 1
LCM(5141,5145) = 26450445
Properties of LCM 5141 and 5145
(i) The LCM of 5145 and 5141 is associative
LCM of 5141 and 5145 = LCM of 5145 and 5141
Related Least Common Multiples of 5141
Related Least Common Multiples of 5145
Frequently Asked Questions on LCM of 5141 and 5145
1. What is the LCM of 5141 and 5145?
Answer: LCM of 5141 and 5145 is 26450445.
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 5145?
Answer: Factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145. There are 16 integers that are factors of 5145. The greatest factor of 5145 is 5145.
4. How to Find the LCM of 5141 and 5145?
Answer:
Least Common Multiple of 5141 and 5145 = 26450445
Step 1: Find the prime factorization of 5141
5141 = 53 x 97
Step 2: Find the prime factorization of 5145
5145 = 3 x 5 x 7 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26450445 = 3 x 5 x 7 x 7 x 7 x 53 x 97
Step 4: Therefore, the least common multiple of 5141 and 5145 is 26450445.