Least Common Multiple of 10165 and 10169
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10165 and 10169 the smallest integer that is 103367885 that is divisible by both numbers.
Least Common Multiple (LCM) of 10165 and 10169 is 103367885.
LCM(10165,10169) = 103367885
LCM of 10165 and 10169
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10165 and 10169 by Prime method
- Least Common Multiple of 10165 and 10169 with GCF Formula
LCM of 10165 and 10169 is 103367885
Least common multiple can be found by multiplying the highest exponent prime factors of 10165 and 10169. First we will calculate the prime factors of 10165 and 10169.
Prime Factorization of 10165
| 5 | 10165 |
| 19 | 2033 |
| 107 | 107 |
| 1 |
Prime factors of 10165 are 5, 19,107. Prime factorization of 10165 in exponential form is:
10165 = 51×191×1071
Prime Factorization of 10169
| 10169 | 10169 |
| 1 |
Prime factors of 10169 are 10169. Prime factorization of 10169 in exponential form is:
10169 = 101691
Now multiplying the highest exponent prime factors to calculate the LCM of 10165 and 10169.
LCM(10165,10169) = 51×191×1071×101691
LCM(10165,10169) = 103367885
Factors of 10165
List of positive integer factors of 10165 that divides 10165 without a remainder.
1, 5, 19, 95, 107, 535, 2033, 10165
Factors of 10169
List of positive integer factors of 10169 that divides 10169 without a remainder.
1, 10169
Least Common Multiple of 10165 and 10169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10165 and 10169, than apply into the LCM equation.
GCF(10165,10169) = 1
LCM(10165,10169) = ( 10165 × 10169) / 1
LCM(10165,10169) = 103367885 / 1
LCM(10165,10169) = 103367885
Properties of LCM 10165 and 10169
(i) The LCM of 10169 and 10165 is associative
LCM of 10165 and 10169 = LCM of 10169 and 10165
Related Least Common Multiples of 10165
Related Least Common Multiples of 10169
Frequently Asked Questions on LCM of 10165 and 10169
1. What is the LCM of 10165 and 10169?
Answer: LCM of 10165 and 10169 is 103367885.
2. What are the Factors of 10165?
Answer: Factors of 10165 are 1, 5, 19, 95, 107, 535, 2033, 10165. There are 8 integers that are factors of 10165. The greatest factor of 10165 is 10165.
3. What are the Factors of 10169?
Answer: Factors of 10169 are 1, 10169. There are 2 integers that are factors of 10169. The greatest factor of 10169 is 10169.
4. How to Find the LCM of 10165 and 10169?
Answer:
Least Common Multiple of 10165 and 10169 = 103367885
Step 1: Find the prime factorization of 10165
10165 = 5 x 19 x 107
Step 2: Find the prime factorization of 10169
10169 = 10169
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 103367885 = 5 x 19 x 107 x 10169
Step 4: Therefore, the least common multiple of 10165 and 10169 is 103367885.