Least Common Multiple of 12443 and 12449
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 12443 and 12449 the smallest integer that is 154902907 that is divisible by both numbers.
Least Common Multiple (LCM) of 12443 and 12449 is 154902907.
LCM(12443,12449) = 154902907
LCM of 12443 and 12449
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12443 and 12449 by Prime method
- Least Common Multiple of 12443 and 12449 with GCF Formula
LCM of 12443 and 12449 is 154902907
Least common multiple can be found by multiplying the highest exponent prime factors of 12443 and 12449. First we will calculate the prime factors of 12443 and 12449.
Prime Factorization of 12443
| 23 | 12443 |
| 541 | 541 |
| 1 |
Prime factors of 12443 are 23,541. Prime factorization of 12443 in exponential form is:
12443 = 231×5411
Prime Factorization of 12449
| 59 | 12449 |
| 211 | 211 |
| 1 |
Prime factors of 12449 are 59,211. Prime factorization of 12449 in exponential form is:
12449 = 591×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 12443 and 12449.
LCM(12443,12449) = 231×591×2111×5411
LCM(12443,12449) = 154902907
Factors of 12443
List of positive integer factors of 12443 that divides 12443 without a remainder.
1, 23, 541, 12443
Factors of 12449
List of positive integer factors of 12449 that divides 12449 without a remainder.
1, 59, 211, 12449
Least Common Multiple of 12443 and 12449 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12443 and 12449, than apply into the LCM equation.
GCF(12443,12449) = 1
LCM(12443,12449) = ( 12443 × 12449) / 1
LCM(12443,12449) = 154902907 / 1
LCM(12443,12449) = 154902907
Properties of LCM 12443 and 12449
(i) The LCM of 12449 and 12443 is associative
LCM of 12443 and 12449 = LCM of 12449 and 12443
Related Least Common Multiples of 12443
Related Least Common Multiples of 12449
Frequently Asked Questions on LCM of 12443 and 12449
1. What is the LCM of 12443 and 12449?
Answer: LCM of 12443 and 12449 is 154902907.
2. What are the Factors of 12443?
Answer: Factors of 12443 are 1, 23, 541, 12443. There are 4 integers that are factors of 12443. The greatest factor of 12443 is 12443.
3. What are the Factors of 12449?
Answer: Factors of 12449 are 1, 59, 211, 12449. There are 4 integers that are factors of 12449. The greatest factor of 12449 is 12449.
4. How to Find the LCM of 12443 and 12449?
Answer:
Least Common Multiple of 12443 and 12449 = 154902907
Step 1: Find the prime factorization of 12443
12443 = 23 x 541
Step 2: Find the prime factorization of 12449
12449 = 59 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 154902907 = 23 x 59 x 211 x 541
Step 4: Therefore, the least common multiple of 12443 and 12449 is 154902907.