Least Common Multiple of 10463 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 10463 and 10469 the smallest integer that is 109537147 that is divisible by both numbers.
Least Common Multiple (LCM) of 10463 and 10469 is 109537147.
LCM(10463,10469) = 109537147
LCM of 10463 and 10469
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10463 and 10469 by Prime method
- Least Common Multiple of 10463 and 10469 with GCF Formula
LCM of 10463 and 10469 is 109537147
Least common multiple can be found by multiplying the highest exponent prime factors of 10463 and 10469. First we will calculate the prime factors of 10463 and 10469.
Prime Factorization of 10463
| 10463 | 10463 |
| 1 |
Prime factors of 10463 are 10463. Prime factorization of 10463 in exponential form is:
10463 = 104631
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 10463 and 10469.
LCM(10463,10469) = 192×291×104631
LCM(10463,10469) = 109537147
Factors of 10463
List of positive integer factors of 10463 that divides 10463 without a remainder.
1, 10463
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 10463 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 10463 and 10469, than apply into the LCM equation.
GCF(10463,10469) = 1
LCM(10463,10469) = ( 10463 × 10469) / 1
LCM(10463,10469) = 109537147 / 1
LCM(10463,10469) = 109537147
Properties of LCM 10463 and 10469
(i) The LCM of 10469 and 10463 is associative
LCM of 10463 and 10469 = LCM of 10469 and 10463
Related Least Common Multiples of 10463
Related Least Common Multiples of 10469
Frequently Asked Questions on LCM of 10463 and 10469
1. What is the LCM of 10463 and 10469?
Answer: LCM of 10463 and 10469 is 109537147.
2. What are the Factors of 10463?
Answer: Factors of 10463 are 1, 10463. There are 2 integers that are factors of 10463. The greatest factor of 10463 is 10463.
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 10463 and 10469?
Answer:
Least Common Multiple of 10463 and 10469 = 109537147
Step 1: Find the prime factorization of 10463
10463 = 10463
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 = 109537147 = 19 x 19 x 29 x 10463
Step 4: Therefore, the least common multiple of 10463 and 10469 is 109537147.