Least Common Multiple of 10469 and 10475
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10469 and 10475 the smallest integer that is 109662775 that is divisible by both numbers.
Least Common Multiple (LCM) of 10469 and 10475 is 109662775.
LCM(10469,10475) = 109662775
LCM of 10469 and 10475
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10469 and 10475 by Prime method
- Least Common Multiple of 10469 and 10475 with GCF Formula
LCM of 10469 and 10475 is 109662775
Least common multiple can be found by multiplying the highest exponent prime factors of 10469 and 10475. First we will calculate the prime factors of 10469 and 10475.
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
Prime Factorization of 10475
| 5 | 10475 |
| 5 | 2095 |
| 419 | 419 |
| 1 |
Prime factors of 10475 are 5,419. Prime factorization of 10475 in exponential form is:
10475 = 52×4191
Now multiplying the highest exponent prime factors to calculate the LCM of 10469 and 10475.
LCM(10469,10475) = 52×192×291×4191
LCM(10469,10475) = 109662775
Factors of 10469
List of positive integer factors of 10469 that divides 10469 without a remainder.
1, 19, 29, 361, 551, 10469
Factors of 10475
List of positive integer factors of 10475 that divides 10475 without a remainder.
1, 5, 25, 419, 2095, 10475
Least Common Multiple of 10469 and 10475 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10469 and 10475, than apply into the LCM equation.
GCF(10469,10475) = 1
LCM(10469,10475) = ( 10469 × 10475) / 1
LCM(10469,10475) = 109662775 / 1
LCM(10469,10475) = 109662775
Properties of LCM 10469 and 10475
(i) The LCM of 10475 and 10469 is associative
LCM of 10469 and 10475 = LCM of 10475 and 10469
Related Least Common Multiples of 10469
Related Least Common Multiples of 10475
Frequently Asked Questions on LCM of 10469 and 10475
1. What is the LCM of 10469 and 10475?
Answer: LCM of 10469 and 10475 is 109662775.
2. 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.
3. What are the Factors of 10475?
Answer: Factors of 10475 are 1, 5, 25, 419, 2095, 10475. There are 6 integers that are factors of 10475. The greatest factor of 10475 is 10475.
4. How to Find the LCM of 10469 and 10475?
Answer:
Least Common Multiple of 10469 and 10475 = 109662775
Step 1: Find the prime factorization of 10469
10469 = 19 x 19 x 29
Step 2: Find the prime factorization of 10475
10475 = 5 x 5 x 419
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 109662775 = 5 x 5 x 19 x 19 x 29 x 419
Step 4: Therefore, the least common multiple of 10469 and 10475 is 109662775.