Least Common Multiple of 3157 and 3161
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3157 and 3161 the smallest integer that is 9979277 that is divisible by both numbers.
Least Common Multiple (LCM) of 3157 and 3161 is 9979277.
LCM(3157,3161) = 9979277
LCM of 3157 and 3161
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3157 and 3161 by Prime method
- Least Common Multiple of 3157 and 3161 with GCF Formula
LCM of 3157 and 3161 is 9979277
Least common multiple can be found by multiplying the highest exponent prime factors of 3157 and 3161. First we will calculate the prime factors of 3157 and 3161.
Prime Factorization of 3157
| 7 | 3157 |
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 3157 are 7, 11,41. Prime factorization of 3157 in exponential form is:
3157 = 71×111×411
Prime Factorization of 3161
| 29 | 3161 |
| 109 | 109 |
| 1 |
Prime factors of 3161 are 29,109. Prime factorization of 3161 in exponential form is:
3161 = 291×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 3157 and 3161.
LCM(3157,3161) = 71×111×291×411×1091
LCM(3157,3161) = 9979277
Factors of 3157
List of positive integer factors of 3157 that divides 3157 without a remainder.
1, 7, 11, 41, 77, 287, 451, 3157
Factors of 3161
List of positive integer factors of 3161 that divides 3161 without a remainder.
1, 29, 109, 3161
Least Common Multiple of 3157 and 3161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3157 and 3161, than apply into the LCM equation.
GCF(3157,3161) = 1
LCM(3157,3161) = ( 3157 × 3161) / 1
LCM(3157,3161) = 9979277 / 1
LCM(3157,3161) = 9979277
Properties of LCM 3157 and 3161
(i) The LCM of 3161 and 3157 is associative
LCM of 3157 and 3161 = LCM of 3161 and 3157
Related Least Common Multiples of 3157
Related Least Common Multiples of 3161
Frequently Asked Questions on LCM of 3157 and 3161
1. What is the LCM of 3157 and 3161?
Answer: LCM of 3157 and 3161 is 9979277.
2. What are the Factors of 3157?
Answer: Factors of 3157 are 1, 7, 11, 41, 77, 287, 451, 3157. There are 8 integers that are factors of 3157. The greatest factor of 3157 is 3157.
3. What are the Factors of 3161?
Answer: Factors of 3161 are 1, 29, 109, 3161. There are 4 integers that are factors of 3161. The greatest factor of 3161 is 3161.
4. How to Find the LCM of 3157 and 3161?
Answer:
Least Common Multiple of 3157 and 3161 = 9979277
Step 1: Find the prime factorization of 3157
3157 = 7 x 11 x 41
Step 2: Find the prime factorization of 3161
3161 = 29 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9979277 = 7 x 11 x 29 x 41 x 109
Step 4: Therefore, the least common multiple of 3157 and 3161 is 9979277.
