Least Common Multiple of 3162 and 3167
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3162 and 3167 the smallest integer that is 10014054 that is divisible by both numbers.
Least Common Multiple (LCM) of 3162 and 3167 is 10014054.
LCM(3162,3167) = 10014054
LCM of 3162 and 3167
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3162 and 3167 by Prime method
- Least Common Multiple of 3162 and 3167 with GCF Formula
LCM of 3162 and 3167 is 10014054
Least common multiple can be found by multiplying the highest exponent prime factors of 3162 and 3167. First we will calculate the prime factors of 3162 and 3167.
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
Prime Factorization of 3167
| 3167 | 3167 |
| 1 |
Prime factors of 3167 are 3167. Prime factorization of 3167 in exponential form is:
3167 = 31671
Now multiplying the highest exponent prime factors to calculate the LCM of 3162 and 3167.
LCM(3162,3167) = 21×31×171×311×31671
LCM(3162,3167) = 10014054
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
Factors of 3167
List of positive integer factors of 3167 that divides 3167 without a remainder.
1, 3167
Least Common Multiple of 3162 and 3167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3162 and 3167, than apply into the LCM equation.
GCF(3162,3167) = 1
LCM(3162,3167) = ( 3162 × 3167) / 1
LCM(3162,3167) = 10014054 / 1
LCM(3162,3167) = 10014054
Properties of LCM 3162 and 3167
(i) The LCM of 3167 and 3162 is associative
LCM of 3162 and 3167 = LCM of 3167 and 3162
Related Least Common Multiples of 3162
Related Least Common Multiples of 3167
Frequently Asked Questions on LCM of 3162 and 3167
1. What is the LCM of 3162 and 3167?
Answer: LCM of 3162 and 3167 is 10014054.
2. 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.
3. What are the Factors of 3167?
Answer: Factors of 3167 are 1, 3167. There are 2 integers that are factors of 3167. The greatest factor of 3167 is 3167.
4. How to Find the LCM of 3162 and 3167?
Answer:
Least Common Multiple of 3162 and 3167 = 10014054
Step 1: Find the prime factorization of 3162
3162 = 2 x 3 x 17 x 31
Step 2: Find the prime factorization of 3167
3167 = 3167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10014054 = 2 x 3 x 17 x 31 x 3167
Step 4: Therefore, the least common multiple of 3162 and 3167 is 10014054.