Least Common Multiple of 5137 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 5137 and 5145 the smallest integer that is 26429865 that is divisible by both numbers.
Least Common Multiple (LCM) of 5137 and 5145 is 26429865.
LCM(5137,5145) = 26429865
LCM of 5137 and 5145
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5137 and 5145 by Prime method
- Least Common Multiple of 5137 and 5145 with GCF Formula
LCM of 5137 and 5145 is 26429865
Least common multiple can be found by multiplying the highest exponent prime factors of 5137 and 5145. First we will calculate the prime factors of 5137 and 5145.
Prime Factorization of 5137
| 11 | 5137 |
| 467 | 467 |
| 1 |
Prime factors of 5137 are 11,467. Prime factorization of 5137 in exponential form is:
5137 = 111×4671
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 5137 and 5145.
LCM(5137,5145) = 31×51×73×111×4671
LCM(5137,5145) = 26429865
Factors of 5137
List of positive integer factors of 5137 that divides 5137 without a remainder.
1, 11, 467, 5137
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 5137 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 5137 and 5145, than apply into the LCM equation.
GCF(5137,5145) = 1
LCM(5137,5145) = ( 5137 × 5145) / 1
LCM(5137,5145) = 26429865 / 1
LCM(5137,5145) = 26429865
Properties of LCM 5137 and 5145
(i) The LCM of 5145 and 5137 is associative
LCM of 5137 and 5145 = LCM of 5145 and 5137
Related Least Common Multiples of 5137
Related Least Common Multiples of 5145
Frequently Asked Questions on LCM of 5137 and 5145
1. What is the LCM of 5137 and 5145?
Answer: LCM of 5137 and 5145 is 26429865.
2. What are the Factors of 5137?
Answer: Factors of 5137 are 1, 11, 467, 5137. There are 4 integers that are factors of 5137. The greatest factor of 5137 is 5137.
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 5137 and 5145?
Answer:
Least Common Multiple of 5137 and 5145 = 26429865
Step 1: Find the prime factorization of 5137
5137 = 11 x 467
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 = 26429865 = 3 x 5 x 7 x 7 x 7 x 11 x 467
Step 4: Therefore, the least common multiple of 5137 and 5145 is 26429865.