Least Common Multiple of 6133 and 6137
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6133 and 6137 the smallest integer that is 37638221 that is divisible by both numbers.
Least Common Multiple (LCM) of 6133 and 6137 is 37638221.
LCM(6133,6137) = 37638221
LCM of 6133 and 6137
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6133 and 6137 by Prime method
- Least Common Multiple of 6133 and 6137 with GCF Formula
LCM of 6133 and 6137 is 37638221
Least common multiple can be found by multiplying the highest exponent prime factors of 6133 and 6137. First we will calculate the prime factors of 6133 and 6137.
Prime Factorization of 6133
| 6133 | 6133 |
| 1 |
Prime factors of 6133 are 6133. Prime factorization of 6133 in exponential form is:
6133 = 61331
Prime Factorization of 6137
| 17 | 6137 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 6137 are 17,19. Prime factorization of 6137 in exponential form is:
6137 = 171×192
Now multiplying the highest exponent prime factors to calculate the LCM of 6133 and 6137.
LCM(6133,6137) = 171×192×61331
LCM(6133,6137) = 37638221
Factors of 6133
List of positive integer factors of 6133 that divides 6133 without a remainder.
1, 6133
Factors of 6137
List of positive integer factors of 6137 that divides 6137 without a remainder.
1, 17, 19, 323, 361, 6137
Least Common Multiple of 6133 and 6137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6133 and 6137, than apply into the LCM equation.
GCF(6133,6137) = 1
LCM(6133,6137) = ( 6133 × 6137) / 1
LCM(6133,6137) = 37638221 / 1
LCM(6133,6137) = 37638221
Properties of LCM 6133 and 6137
(i) The LCM of 6137 and 6133 is associative
LCM of 6133 and 6137 = LCM of 6137 and 6133
Related Least Common Multiples of 6133
Related Least Common Multiples of 6137
Frequently Asked Questions on LCM of 6133 and 6137
1. What is the LCM of 6133 and 6137?
Answer: LCM of 6133 and 6137 is 37638221.
2. What are the Factors of 6133?
Answer: Factors of 6133 are 1, 6133. There are 2 integers that are factors of 6133. The greatest factor of 6133 is 6133.
3. What are the Factors of 6137?
Answer: Factors of 6137 are 1, 17, 19, 323, 361, 6137. There are 6 integers that are factors of 6137. The greatest factor of 6137 is 6137.
4. How to Find the LCM of 6133 and 6137?
Answer:
Least Common Multiple of 6133 and 6137 = 37638221
Step 1: Find the prime factorization of 6133
6133 = 6133
Step 2: Find the prime factorization of 6137
6137 = 17 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37638221 = 17 x 19 x 19 x 6133
Step 4: Therefore, the least common multiple of 6133 and 6137 is 37638221.