Least Common Multiple of 5133 and 5137
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 5137 the smallest integer that is 26368221 that is divisible by both numbers.
Least Common Multiple (LCM) of 5133 and 5137 is 26368221.
LCM(5133,5137) = 26368221
LCM of 5133 and 5137
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5133 and 5137 by Prime method
- Least Common Multiple of 5133 and 5137 with GCF Formula
LCM of 5133 and 5137 is 26368221
Least common multiple can be found by multiplying the highest exponent prime factors of 5133 and 5137. First we will calculate the prime factors of 5133 and 5137.
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 5137
| 11 | 5137 |
| 467 | 467 |
| 1 |
Prime factors of 5137 are 11,467. Prime factorization of 5137 in exponential form is:
5137 = 111×4671
Now multiplying the highest exponent prime factors to calculate the LCM of 5133 and 5137.
LCM(5133,5137) = 31×111×291×591×4671
LCM(5133,5137) = 26368221
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 5137
List of positive integer factors of 5137 that divides 5137 without a remainder.
1, 11, 467, 5137
Least Common Multiple of 5133 and 5137 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 5137, than apply into the LCM equation.
GCF(5133,5137) = 1
LCM(5133,5137) = ( 5133 × 5137) / 1
LCM(5133,5137) = 26368221 / 1
LCM(5133,5137) = 26368221
Properties of LCM 5133 and 5137
(i) The LCM of 5137 and 5133 is associative
LCM of 5133 and 5137 = LCM of 5137 and 5133
Related Least Common Multiples of 5133
Related Least Common Multiples of 5137
Frequently Asked Questions on LCM of 5133 and 5137
1. What is the LCM of 5133 and 5137?
Answer: LCM of 5133 and 5137 is 26368221.
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 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.
4. How to Find the LCM of 5133 and 5137?
Answer:
Least Common Multiple of 5133 and 5137 = 26368221
Step 1: Find the prime factorization of 5133
5133 = 3 x 29 x 59
Step 2: Find the prime factorization of 5137
5137 = 11 x 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26368221 = 3 x 11 x 29 x 59 x 467
Step 4: Therefore, the least common multiple of 5133 and 5137 is 26368221.