Least Common Multiple of 3133 and 3139
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3133 and 3139 the smallest integer that is 9834487 that is divisible by both numbers.
Least Common Multiple (LCM) of 3133 and 3139 is 9834487.
LCM(3133,3139) = 9834487
LCM of 3133 and 3139
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3133 and 3139 by Prime method
- Least Common Multiple of 3133 and 3139 with GCF Formula
LCM of 3133 and 3139 is 9834487
Least common multiple can be found by multiplying the highest exponent prime factors of 3133 and 3139. First we will calculate the prime factors of 3133 and 3139.
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
Prime Factorization of 3139
| 43 | 3139 |
| 73 | 73 |
| 1 |
Prime factors of 3139 are 43,73. Prime factorization of 3139 in exponential form is:
3139 = 431×731
Now multiplying the highest exponent prime factors to calculate the LCM of 3133 and 3139.
LCM(3133,3139) = 131×431×731×2411
LCM(3133,3139) = 9834487
Factors of 3133
List of positive integer factors of 3133 that divides 3133 without a remainder.
1, 13, 241, 3133
Factors of 3139
List of positive integer factors of 3139 that divides 3139 without a remainder.
1, 43, 73, 3139
Least Common Multiple of 3133 and 3139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3133 and 3139, than apply into the LCM equation.
GCF(3133,3139) = 1
LCM(3133,3139) = ( 3133 × 3139) / 1
LCM(3133,3139) = 9834487 / 1
LCM(3133,3139) = 9834487
Properties of LCM 3133 and 3139
(i) The LCM of 3139 and 3133 is associative
LCM of 3133 and 3139 = LCM of 3139 and 3133
Related Least Common Multiples of 3133
Related Least Common Multiples of 3139
Frequently Asked Questions on LCM of 3133 and 3139
1. What is the LCM of 3133 and 3139?
Answer: LCM of 3133 and 3139 is 9834487.
2. 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.
3. What are the Factors of 3139?
Answer: Factors of 3139 are 1, 43, 73, 3139. There are 4 integers that are factors of 3139. The greatest factor of 3139 is 3139.
4. How to Find the LCM of 3133 and 3139?
Answer:
Least Common Multiple of 3133 and 3139 = 9834487
Step 1: Find the prime factorization of 3133
3133 = 13 x 241
Step 2: Find the prime factorization of 3139
3139 = 43 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9834487 = 13 x 43 x 73 x 241
Step 4: Therefore, the least common multiple of 3133 and 3139 is 9834487.