Least Common Multiple of 10462 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 10462 and 10469 the smallest integer that is 109526678 that is divisible by both numbers.
Least Common Multiple (LCM) of 10462 and 10469 is 109526678.
LCM(10462,10469) = 109526678
LCM of 10462 and 10469
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10462 and 10469 by Prime method
- Least Common Multiple of 10462 and 10469 with GCF Formula
LCM of 10462 and 10469 is 109526678
Least common multiple can be found by multiplying the highest exponent prime factors of 10462 and 10469. First we will calculate the prime factors of 10462 and 10469.
Prime Factorization of 10462
| 2 | 10462 |
| 5231 | 5231 |
| 1 |
Prime factors of 10462 are 2,5231. Prime factorization of 10462 in exponential form is:
10462 = 21×52311
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 10462 and 10469.
LCM(10462,10469) = 21×192×291×52311
LCM(10462,10469) = 109526678
Factors of 10462
List of positive integer factors of 10462 that divides 10462 without a remainder.
1, 2, 5231, 10462
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 10462 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 10462 and 10469, than apply into the LCM equation.
GCF(10462,10469) = 1
LCM(10462,10469) = ( 10462 × 10469) / 1
LCM(10462,10469) = 109526678 / 1
LCM(10462,10469) = 109526678
Properties of LCM 10462 and 10469
(i) The LCM of 10469 and 10462 is associative
LCM of 10462 and 10469 = LCM of 10469 and 10462
Related Least Common Multiples of 10462
Related Least Common Multiples of 10469
Frequently Asked Questions on LCM of 10462 and 10469
1. What is the LCM of 10462 and 10469?
Answer: LCM of 10462 and 10469 is 109526678.
2. What are the Factors of 10462?
Answer: Factors of 10462 are 1, 2, 5231, 10462. There are 4 integers that are factors of 10462. The greatest factor of 10462 is 10462.
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 10462 and 10469?
Answer:
Least Common Multiple of 10462 and 10469 = 109526678
Step 1: Find the prime factorization of 10462
10462 = 2 x 5231
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 = 109526678 = 2 x 19 x 19 x 29 x 5231
Step 4: Therefore, the least common multiple of 10462 and 10469 is 109526678.