Least Common Multiple of 10171 and 10179
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10171 and 10179 the smallest integer that is 103530609 that is divisible by both numbers.
Least Common Multiple (LCM) of 10171 and 10179 is 103530609.
LCM(10171,10179) = 103530609
LCM of 10171 and 10179
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10171 and 10179 by Prime method
- Least Common Multiple of 10171 and 10179 with GCF Formula
LCM of 10171 and 10179 is 103530609
Least common multiple can be found by multiplying the highest exponent prime factors of 10171 and 10179. First we will calculate the prime factors of 10171 and 10179.
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
Prime Factorization of 10179
| 3 | 10179 |
| 3 | 3393 |
| 3 | 1131 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 10179 are 3, 13,29. Prime factorization of 10179 in exponential form is:
10179 = 33×131×291
Now multiplying the highest exponent prime factors to calculate the LCM of 10171 and 10179.
LCM(10171,10179) = 33×71×131×291×14531
LCM(10171,10179) = 103530609
Factors of 10171
List of positive integer factors of 10171 that divides 10171 without a remainder.
1, 7, 1453, 10171
Factors of 10179
List of positive integer factors of 10179 that divides 10179 without a remainder.
1, 3, 9, 13, 27, 29, 39, 87, 117, 261, 351, 377, 783, 1131, 3393, 10179
Least Common Multiple of 10171 and 10179 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10171 and 10179, than apply into the LCM equation.
GCF(10171,10179) = 1
LCM(10171,10179) = ( 10171 × 10179) / 1
LCM(10171,10179) = 103530609 / 1
LCM(10171,10179) = 103530609
Properties of LCM 10171 and 10179
(i) The LCM of 10179 and 10171 is associative
LCM of 10171 and 10179 = LCM of 10179 and 10171
Related Least Common Multiples of 10171
Related Least Common Multiples of 10179
Frequently Asked Questions on LCM of 10171 and 10179
1. What is the LCM of 10171 and 10179?
Answer: LCM of 10171 and 10179 is 103530609.
2. 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.
3. What are the Factors of 10179?
Answer: Factors of 10179 are 1, 3, 9, 13, 27, 29, 39, 87, 117, 261, 351, 377, 783, 1131, 3393, 10179. There are 16 integers that are factors of 10179. The greatest factor of 10179 is 10179.
4. How to Find the LCM of 10171 and 10179?
Answer:
Least Common Multiple of 10171 and 10179 = 103530609
Step 1: Find the prime factorization of 10171
10171 = 7 x 1453
Step 2: Find the prime factorization of 10179
10179 = 3 x 3 x 3 x 13 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 103530609 = 3 x 3 x 3 x 7 x 13 x 29 x 1453
Step 4: Therefore, the least common multiple of 10171 and 10179 is 103530609.