Least Common Multiple of 10465 and 10469
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10465 and 10469 the smallest integer that is 109558085 that is divisible by both numbers.
Least Common Multiple (LCM) of 10465 and 10469 is 109558085.
LCM(10465,10469) = 109558085
LCM of 10465 and 10469
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10465 and 10469 by Prime method
- Least Common Multiple of 10465 and 10469 with GCF Formula
LCM of 10465 and 10469 is 109558085
Least common multiple can be found by multiplying the highest exponent prime factors of 10465 and 10469. First we will calculate the prime factors of 10465 and 10469.
Prime Factorization of 10465
| 5 | 10465 |
| 7 | 2093 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 10465 are 5, 7, 13,23. Prime factorization of 10465 in exponential form is:
10465 = 51×71×131×231
Prime Factorization of 10469
| 19 | 10469 |
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 10469 are 19,29. Prime factorization of 10469 in exponential form is:
10469 = 192×291
Now multiplying the highest exponent prime factors to calculate the LCM of 10465 and 10469.
LCM(10465,10469) = 51×71×131×192×231×291
LCM(10465,10469) = 109558085
Factors of 10465
List of positive integer factors of 10465 that divides 10465 without a remainder.
1, 5, 7, 13, 23, 35, 65, 91, 115, 161, 299, 455, 805, 1495, 2093, 10465
Factors of 10469
List of positive integer factors of 10469 that divides 10469 without a remainder.
1, 19, 29, 361, 551, 10469
Least Common Multiple of 10465 and 10469 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10465 and 10469, than apply into the LCM equation.
GCF(10465,10469) = 1
LCM(10465,10469) = ( 10465 × 10469) / 1
LCM(10465,10469) = 109558085 / 1
LCM(10465,10469) = 109558085
Properties of LCM 10465 and 10469
(i) The LCM of 10469 and 10465 is associative
LCM of 10465 and 10469 = LCM of 10469 and 10465
Related Least Common Multiples of 10465
Related Least Common Multiples of 10469
Frequently Asked Questions on LCM of 10465 and 10469
1. What is the LCM of 10465 and 10469?
Answer: LCM of 10465 and 10469 is 109558085.
2. What are the Factors of 10465?
Answer: Factors of 10465 are 1, 5, 7, 13, 23, 35, 65, 91, 115, 161, 299, 455, 805, 1495, 2093, 10465. There are 16 integers that are factors of 10465. The greatest factor of 10465 is 10465.
3. What are the Factors of 10469?
Answer: Factors of 10469 are 1, 19, 29, 361, 551, 10469. There are 6 integers that are factors of 10469. The greatest factor of 10469 is 10469.
4. How to Find the LCM of 10465 and 10469?
Answer:
Least Common Multiple of 10465 and 10469 = 109558085
Step 1: Find the prime factorization of 10465
10465 = 5 x 7 x 13 x 23
Step 2: Find the prime factorization of 10469
10469 = 19 x 19 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 = 109558085 = 5 x 7 x 13 x 19 x 19 x 23 x 29
Step 4: Therefore, the least common multiple of 10465 and 10469 is 109558085.