Least Common Multiple of 5138 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 5138 and 5145 the smallest integer that is 3776430 that is divisible by both numbers.
Least Common Multiple (LCM) of 5138 and 5145 is 3776430.
LCM(5138,5145) = 3776430
LCM of 5138 and 5145
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5138 and 5145 by Prime method
- Least Common Multiple of 5138 and 5145 with GCF Formula
LCM of 5138 and 5145 is 3776430
Least common multiple can be found by multiplying the highest exponent prime factors of 5138 and 5145. First we will calculate the prime factors of 5138 and 5145.
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 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 5138 and 5145.
LCM(5138,5145) = 21×31×51×73×3671
LCM(5138,5145) = 3776430
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 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 5138 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 5138 and 5145, than apply into the LCM equation.
GCF(5138,5145) = 7
LCM(5138,5145) = ( 5138 × 5145) / 7
LCM(5138,5145) = 26435010 / 7
LCM(5138,5145) = 3776430
Properties of LCM 5138 and 5145
(i) The LCM of 5145 and 5138 is associative
LCM of 5138 and 5145 = LCM of 5145 and 5138
Related Least Common Multiples of 5138
Related Least Common Multiples of 5145
Frequently Asked Questions on LCM of 5138 and 5145
1. What is the LCM of 5138 and 5145?
Answer: LCM of 5138 and 5145 is 3776430.
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 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 5138 and 5145?
Answer:
Least Common Multiple of 5138 and 5145 = 3776430
Step 1: Find the prime factorization of 5138
5138 = 2 x 7 x 367
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 = 3776430 = 2 x 3 x 5 x 7 x 7 x 7 x 367
Step 4: Therefore, the least common multiple of 5138 and 5145 is 3776430.