Least Common Multiple of 10442 and 10449
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10442 and 10449 the smallest integer that is 109108458 that is divisible by both numbers.
Least Common Multiple (LCM) of 10442 and 10449 is 109108458.
LCM(10442,10449) = 109108458
LCM of 10442 and 10449
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10442 and 10449 by Prime method
- Least Common Multiple of 10442 and 10449 with GCF Formula
LCM of 10442 and 10449 is 109108458
Least common multiple can be found by multiplying the highest exponent prime factors of 10442 and 10449. First we will calculate the prime factors of 10442 and 10449.
Prime Factorization of 10442
| 2 | 10442 |
| 23 | 5221 |
| 227 | 227 |
| 1 |
Prime factors of 10442 are 2, 23,227. Prime factorization of 10442 in exponential form is:
10442 = 21×231×2271
Prime Factorization of 10449
| 3 | 10449 |
| 3 | 3483 |
| 3 | 1161 |
| 3 | 387 |
| 3 | 129 |
| 43 | 43 |
| 1 |
Prime factors of 10449 are 3,43. Prime factorization of 10449 in exponential form is:
10449 = 35×431
Now multiplying the highest exponent prime factors to calculate the LCM of 10442 and 10449.
LCM(10442,10449) = 21×35×231×431×2271
LCM(10442,10449) = 109108458
Factors of 10442
List of positive integer factors of 10442 that divides 10442 without a remainder.
1, 2, 23, 46, 227, 454, 5221, 10442
Factors of 10449
List of positive integer factors of 10449 that divides 10449 without a remainder.
1, 3, 9, 27, 43, 81, 129, 243, 387, 1161, 3483, 10449
Least Common Multiple of 10442 and 10449 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10442 and 10449, than apply into the LCM equation.
GCF(10442,10449) = 1
LCM(10442,10449) = ( 10442 × 10449) / 1
LCM(10442,10449) = 109108458 / 1
LCM(10442,10449) = 109108458
Properties of LCM 10442 and 10449
(i) The LCM of 10449 and 10442 is associative
LCM of 10442 and 10449 = LCM of 10449 and 10442
Related Least Common Multiples of 10442
Related Least Common Multiples of 10449
Frequently Asked Questions on LCM of 10442 and 10449
1. What is the LCM of 10442 and 10449?
Answer: LCM of 10442 and 10449 is 109108458.
2. What are the Factors of 10442?
Answer: Factors of 10442 are 1, 2, 23, 46, 227, 454, 5221, 10442. There are 8 integers that are factors of 10442. The greatest factor of 10442 is 10442.
3. What are the Factors of 10449?
Answer: Factors of 10449 are 1, 3, 9, 27, 43, 81, 129, 243, 387, 1161, 3483, 10449. There are 12 integers that are factors of 10449. The greatest factor of 10449 is 10449.
4. How to Find the LCM of 10442 and 10449?
Answer:
Least Common Multiple of 10442 and 10449 = 109108458
Step 1: Find the prime factorization of 10442
10442 = 2 x 23 x 227
Step 2: Find the prime factorization of 10449
10449 = 3 x 3 x 3 x 3 x 3 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 109108458 = 2 x 3 x 3 x 3 x 3 x 3 x 23 x 43 x 227
Step 4: Therefore, the least common multiple of 10442 and 10449 is 109108458.