Least Common Multiple of 3157 and 3162
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 3162 the smallest integer that is 9982434 that is divisible by both numbers.
Least Common Multiple (LCM) of 3157 and 3162 is 9982434.
LCM(3157,3162) = 9982434
LCM of 3157 and 3162
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3157 and 3162 by Prime method
- Least Common Multiple of 3157 and 3162 with GCF Formula
LCM of 3157 and 3162 is 9982434
Least common multiple can be found by multiplying the highest exponent prime factors of 3157 and 3162. First we will calculate the prime factors of 3157 and 3162.
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 3162
| 2 | 3162 |
| 3 | 1581 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 3162 are 2, 3, 17,31. Prime factorization of 3162 in exponential form is:
3162 = 21×31×171×311
Now multiplying the highest exponent prime factors to calculate the LCM of 3157 and 3162.
LCM(3157,3162) = 21×31×71×111×171×311×411
LCM(3157,3162) = 9982434
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 3162
List of positive integer factors of 3162 that divides 3162 without a remainder.
1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162
Least Common Multiple of 3157 and 3162 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 3162, than apply into the LCM equation.
GCF(3157,3162) = 1
LCM(3157,3162) = ( 3157 × 3162) / 1
LCM(3157,3162) = 9982434 / 1
LCM(3157,3162) = 9982434
Properties of LCM 3157 and 3162
(i) The LCM of 3162 and 3157 is associative
LCM of 3157 and 3162 = LCM of 3162 and 3157
Related Least Common Multiples of 3157
Related Least Common Multiples of 3162
Frequently Asked Questions on LCM of 3157 and 3162
1. What is the LCM of 3157 and 3162?
Answer: LCM of 3157 and 3162 is 9982434.
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 3162?
Answer: Factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162. There are 16 integers that are factors of 3162. The greatest factor of 3162 is 3162.
4. How to Find the LCM of 3157 and 3162?
Answer:
Least Common Multiple of 3157 and 3162 = 9982434
Step 1: Find the prime factorization of 3157
3157 = 7 x 11 x 41
Step 2: Find the prime factorization of 3162
3162 = 2 x 3 x 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9982434 = 2 x 3 x 7 x 11 x 17 x 31 x 41
Step 4: Therefore, the least common multiple of 3157 and 3162 is 9982434.
