Least Common Multiple of 10164 and 10171
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10164 and 10171 the smallest integer that is 14768292 that is divisible by both numbers.
Least Common Multiple (LCM) of 10164 and 10171 is 14768292.
LCM(10164,10171) = 14768292
LCM of 10164 and 10171
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10164 and 10171 by Prime method
- Least Common Multiple of 10164 and 10171 with GCF Formula
LCM of 10164 and 10171 is 14768292
Least common multiple can be found by multiplying the highest exponent prime factors of 10164 and 10171. First we will calculate the prime factors of 10164 and 10171.
Prime Factorization of 10164
| 2 | 10164 |
| 2 | 5082 |
| 3 | 2541 |
| 7 | 847 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 10164 are 2, 3, 7,11. Prime factorization of 10164 in exponential form is:
10164 = 22×31×71×112
Prime Factorization of 10171
| 7 | 10171 |
| 1453 | 1453 |
| 1 |
Prime factors of 10171 are 7,1453. Prime factorization of 10171 in exponential form is:
10171 = 71×14531
Now multiplying the highest exponent prime factors to calculate the LCM of 10164 and 10171.
LCM(10164,10171) = 22×31×71×112×14531
LCM(10164,10171) = 14768292
Factors of 10164
List of positive integer factors of 10164 that divides 10164 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 121, 132, 154, 231, 242, 308, 363, 462, 484, 726, 847, 924, 1452, 1694, 2541, 3388, 5082, 10164
Factors of 10171
List of positive integer factors of 10171 that divides 10171 without a remainder.
1, 7, 1453, 10171
Least Common Multiple of 10164 and 10171 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10164 and 10171, than apply into the LCM equation.
GCF(10164,10171) = 7
LCM(10164,10171) = ( 10164 × 10171) / 7
LCM(10164,10171) = 103378044 / 7
LCM(10164,10171) = 14768292
Properties of LCM 10164 and 10171
(i) The LCM of 10171 and 10164 is associative
LCM of 10164 and 10171 = LCM of 10171 and 10164
Related Least Common Multiples of 10164
Related Least Common Multiples of 10171
Frequently Asked Questions on LCM of 10164 and 10171
1. What is the LCM of 10164 and 10171?
Answer: LCM of 10164 and 10171 is 14768292.
2. What are the Factors of 10164?
Answer: Factors of 10164 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 121, 132, 154, 231, 242, 308, 363, 462, 484, 726, 847, 924, 1452, 1694, 2541, 3388, 5082, 10164. There are 36 integers that are factors of 10164. The greatest factor of 10164 is 10164.
3. What are the Factors of 10171?
Answer: Factors of 10171 are 1, 7, 1453, 10171. There are 4 integers that are factors of 10171. The greatest factor of 10171 is 10171.
4. How to Find the LCM of 10164 and 10171?
Answer:
Least Common Multiple of 10164 and 10171 = 14768292
Step 1: Find the prime factorization of 10164
10164 = 2 x 2 x 3 x 7 x 11 x 11
Step 2: Find the prime factorization of 10171
10171 = 7 x 1453
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14768292 = 2 x 2 x 3 x 7 x 11 x 11 x 1453
Step 4: Therefore, the least common multiple of 10164 and 10171 is 14768292.