Least Common Multiple of 3157 and 3165
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 3165 the smallest integer that is 9991905 that is divisible by both numbers.
Least Common Multiple (LCM) of 3157 and 3165 is 9991905.
LCM(3157,3165) = 9991905
LCM of 3157 and 3165
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3157 and 3165 by Prime method
- Least Common Multiple of 3157 and 3165 with GCF Formula
LCM of 3157 and 3165 is 9991905
Least common multiple can be found by multiplying the highest exponent prime factors of 3157 and 3165. First we will calculate the prime factors of 3157 and 3165.
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 3165
| 3 | 3165 |
| 5 | 1055 |
| 211 | 211 |
| 1 |
Prime factors of 3165 are 3, 5,211. Prime factorization of 3165 in exponential form is:
3165 = 31×51×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 3157 and 3165.
LCM(3157,3165) = 31×51×71×111×411×2111
LCM(3157,3165) = 9991905
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 3165
List of positive integer factors of 3165 that divides 3165 without a remainder.
1, 3, 5, 15, 211, 633, 1055, 3165
Least Common Multiple of 3157 and 3165 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 3165, than apply into the LCM equation.
GCF(3157,3165) = 1
LCM(3157,3165) = ( 3157 × 3165) / 1
LCM(3157,3165) = 9991905 / 1
LCM(3157,3165) = 9991905
Properties of LCM 3157 and 3165
(i) The LCM of 3165 and 3157 is associative
LCM of 3157 and 3165 = LCM of 3165 and 3157
Related Least Common Multiples of 3157
Related Least Common Multiples of 3165
Frequently Asked Questions on LCM of 3157 and 3165
1. What is the LCM of 3157 and 3165?
Answer: LCM of 3157 and 3165 is 9991905.
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 3165?
Answer: Factors of 3165 are 1, 3, 5, 15, 211, 633, 1055, 3165. There are 8 integers that are factors of 3165. The greatest factor of 3165 is 3165.
4. How to Find the LCM of 3157 and 3165?
Answer:
Least Common Multiple of 3157 and 3165 = 9991905
Step 1: Find the prime factorization of 3157
3157 = 7 x 11 x 41
Step 2: Find the prime factorization of 3165
3165 = 3 x 5 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9991905 = 3 x 5 x 7 x 11 x 41 x 211
Step 4: Therefore, the least common multiple of 3157 and 3165 is 9991905.