Least Common Multiple of 5138 and 5143
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5138 and 5143 the smallest integer that is 26424734 that is divisible by both numbers.
Least Common Multiple (LCM) of 5138 and 5143 is 26424734.
LCM(5138,5143) = 26424734
LCM of 5138 and 5143
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5138 and 5143 by Prime method
- Least Common Multiple of 5138 and 5143 with GCF Formula
LCM of 5138 and 5143 is 26424734
Least common multiple can be found by multiplying the highest exponent prime factors of 5138 and 5143. First we will calculate the prime factors of 5138 and 5143.
Prime Factorization of 5138
| 2 | 5138 |
| 7 | 2569 |
| 367 | 367 |
| 1 |
Prime factors of 5138 are 2, 7,367. Prime factorization of 5138 in exponential form is:
5138 = 21×71×3671
Prime Factorization of 5143
| 37 | 5143 |
| 139 | 139 |
| 1 |
Prime factors of 5143 are 37,139. Prime factorization of 5143 in exponential form is:
5143 = 371×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 5138 and 5143.
LCM(5138,5143) = 21×71×371×1391×3671
LCM(5138,5143) = 26424734
Factors of 5138
List of positive integer factors of 5138 that divides 5138 without a remainder.
1, 2, 7, 14, 367, 734, 2569, 5138
Factors of 5143
List of positive integer factors of 5143 that divides 5143 without a remainder.
1, 37, 139, 5143
Least Common Multiple of 5138 and 5143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5138 and 5143, than apply into the LCM equation.
GCF(5138,5143) = 1
LCM(5138,5143) = ( 5138 × 5143) / 1
LCM(5138,5143) = 26424734 / 1
LCM(5138,5143) = 26424734
Properties of LCM 5138 and 5143
(i) The LCM of 5143 and 5138 is associative
LCM of 5138 and 5143 = LCM of 5143 and 5138
Related Least Common Multiples of 5138
Related Least Common Multiples of 5143
Frequently Asked Questions on LCM of 5138 and 5143
1. What is the LCM of 5138 and 5143?
Answer: LCM of 5138 and 5143 is 26424734.
2. What are the Factors of 5138?
Answer: Factors of 5138 are 1, 2, 7, 14, 367, 734, 2569, 5138. There are 8 integers that are factors of 5138. The greatest factor of 5138 is 5138.
3. What are the Factors of 5143?
Answer: Factors of 5143 are 1, 37, 139, 5143. There are 4 integers that are factors of 5143. The greatest factor of 5143 is 5143.
4. How to Find the LCM of 5138 and 5143?
Answer:
Least Common Multiple of 5138 and 5143 = 26424734
Step 1: Find the prime factorization of 5138
5138 = 2 x 7 x 367
Step 2: Find the prime factorization of 5143
5143 = 37 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26424734 = 2 x 7 x 37 x 139 x 367
Step 4: Therefore, the least common multiple of 5138 and 5143 is 26424734.