Least Common Multiple of 6133 and 6141
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 6141 the smallest integer that is 37662753 that is divisible by both numbers.
Least Common Multiple (LCM) of 6133 and 6141 is 37662753.
LCM(6133,6141) = 37662753
LCM of 6133 and 6141
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6133 and 6141 by Prime method
- Least Common Multiple of 6133 and 6141 with GCF Formula
LCM of 6133 and 6141 is 37662753
Least common multiple can be found by multiplying the highest exponent prime factors of 6133 and 6141. First we will calculate the prime factors of 6133 and 6141.
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 6141
| 3 | 6141 |
| 23 | 2047 |
| 89 | 89 |
| 1 |
Prime factors of 6141 are 3, 23,89. Prime factorization of 6141 in exponential form is:
6141 = 31×231×891
Now multiplying the highest exponent prime factors to calculate the LCM of 6133 and 6141.
LCM(6133,6141) = 31×231×891×61331
LCM(6133,6141) = 37662753
Factors of 6133
List of positive integer factors of 6133 that divides 6133 without a remainder.
1, 6133
Factors of 6141
List of positive integer factors of 6141 that divides 6141 without a remainder.
1, 3, 23, 69, 89, 267, 2047, 6141
Least Common Multiple of 6133 and 6141 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 6141, than apply into the LCM equation.
GCF(6133,6141) = 1
LCM(6133,6141) = ( 6133 × 6141) / 1
LCM(6133,6141) = 37662753 / 1
LCM(6133,6141) = 37662753
Properties of LCM 6133 and 6141
(i) The LCM of 6141 and 6133 is associative
LCM of 6133 and 6141 = LCM of 6141 and 6133
Related Least Common Multiples of 6133
Related Least Common Multiples of 6141
Frequently Asked Questions on LCM of 6133 and 6141
1. What is the LCM of 6133 and 6141?
Answer: LCM of 6133 and 6141 is 37662753.
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 6141?
Answer: Factors of 6141 are 1, 3, 23, 69, 89, 267, 2047, 6141. There are 8 integers that are factors of 6141. The greatest factor of 6141 is 6141.
4. How to Find the LCM of 6133 and 6141?
Answer:
Least Common Multiple of 6133 and 6141 = 37662753
Step 1: Find the prime factorization of 6133
6133 = 6133
Step 2: Find the prime factorization of 6141
6141 = 3 x 23 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 37662753 = 3 x 23 x 89 x 6133
Step 4: Therefore, the least common multiple of 6133 and 6141 is 37662753.