Least Common Multiple of 3127 and 3133
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3127 and 3133 the smallest integer that is 9796891 that is divisible by both numbers.
Least Common Multiple (LCM) of 3127 and 3133 is 9796891.
LCM(3127,3133) = 9796891
LCM of 3127 and 3133
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3127 and 3133 by Prime method
- Least Common Multiple of 3127 and 3133 with GCF Formula
LCM of 3127 and 3133 is 9796891
Least common multiple can be found by multiplying the highest exponent prime factors of 3127 and 3133. First we will calculate the prime factors of 3127 and 3133.
Prime Factorization of 3127
| 53 | 3127 |
| 59 | 59 |
| 1 |
Prime factors of 3127 are 53,59. Prime factorization of 3127 in exponential form is:
3127 = 531×591
Prime Factorization of 3133
| 13 | 3133 |
| 241 | 241 |
| 1 |
Prime factors of 3133 are 13,241. Prime factorization of 3133 in exponential form is:
3133 = 131×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 3127 and 3133.
LCM(3127,3133) = 131×531×591×2411
LCM(3127,3133) = 9796891
Factors of 3127
List of positive integer factors of 3127 that divides 3127 without a remainder.
1, 53, 59, 3127
Factors of 3133
List of positive integer factors of 3133 that divides 3133 without a remainder.
1, 13, 241, 3133
Least Common Multiple of 3127 and 3133 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3127 and 3133, than apply into the LCM equation.
GCF(3127,3133) = 1
LCM(3127,3133) = ( 3127 × 3133) / 1
LCM(3127,3133) = 9796891 / 1
LCM(3127,3133) = 9796891
Properties of LCM 3127 and 3133
(i) The LCM of 3133 and 3127 is associative
LCM of 3127 and 3133 = LCM of 3133 and 3127
Related Least Common Multiples of 3127
Related Least Common Multiples of 3133
Frequently Asked Questions on LCM of 3127 and 3133
1. What is the LCM of 3127 and 3133?
Answer: LCM of 3127 and 3133 is 9796891.
2. What are the Factors of 3127?
Answer: Factors of 3127 are 1, 53, 59, 3127. There are 4 integers that are factors of 3127. The greatest factor of 3127 is 3127.
3. What are the Factors of 3133?
Answer: Factors of 3133 are 1, 13, 241, 3133. There are 4 integers that are factors of 3133. The greatest factor of 3133 is 3133.
4. How to Find the LCM of 3127 and 3133?
Answer:
Least Common Multiple of 3127 and 3133 = 9796891
Step 1: Find the prime factorization of 3127
3127 = 53 x 59
Step 2: Find the prime factorization of 3133
3133 = 13 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9796891 = 13 x 53 x 59 x 241
Step 4: Therefore, the least common multiple of 3127 and 3133 is 9796891.