Least Common Multiple of 13439 and 13443
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13439 and 13443 the smallest integer that is 180660477 that is divisible by both numbers.
Least Common Multiple (LCM) of 13439 and 13443 is 180660477.
LCM(13439,13443) = 180660477
LCM of 13439 and 13443
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13439 and 13443 by Prime method
- Least Common Multiple of 13439 and 13443 with GCF Formula
LCM of 13439 and 13443 is 180660477
Least common multiple can be found by multiplying the highest exponent prime factors of 13439 and 13443. First we will calculate the prime factors of 13439 and 13443.
Prime Factorization of 13439
| 89 | 13439 |
| 151 | 151 |
| 1 |
Prime factors of 13439 are 89,151. Prime factorization of 13439 in exponential form is:
13439 = 891×1511
Prime Factorization of 13443
| 3 | 13443 |
| 4481 | 4481 |
| 1 |
Prime factors of 13443 are 3,4481. Prime factorization of 13443 in exponential form is:
13443 = 31×44811
Now multiplying the highest exponent prime factors to calculate the LCM of 13439 and 13443.
LCM(13439,13443) = 31×891×1511×44811
LCM(13439,13443) = 180660477
Factors of 13439
List of positive integer factors of 13439 that divides 13439 without a remainder.
1, 89, 151, 13439
Factors of 13443
List of positive integer factors of 13443 that divides 13443 without a remainder.
1, 3, 4481, 13443
Least Common Multiple of 13439 and 13443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13439 and 13443, than apply into the LCM equation.
GCF(13439,13443) = 1
LCM(13439,13443) = ( 13439 × 13443) / 1
LCM(13439,13443) = 180660477 / 1
LCM(13439,13443) = 180660477
Properties of LCM 13439 and 13443
(i) The LCM of 13443 and 13439 is associative
LCM of 13439 and 13443 = LCM of 13443 and 13439
Related Least Common Multiples of 13439
Related Least Common Multiples of 13443
Frequently Asked Questions on LCM of 13439 and 13443
1. What is the LCM of 13439 and 13443?
Answer: LCM of 13439 and 13443 is 180660477.
2. What are the Factors of 13439?
Answer: Factors of 13439 are 1, 89, 151, 13439. There are 4 integers that are factors of 13439. The greatest factor of 13439 is 13439.
3. What are the Factors of 13443?
Answer: Factors of 13443 are 1, 3, 4481, 13443. There are 4 integers that are factors of 13443. The greatest factor of 13443 is 13443.
4. How to Find the LCM of 13439 and 13443?
Answer:
Least Common Multiple of 13439 and 13443 = 180660477
Step 1: Find the prime factorization of 13439
13439 = 89 x 151
Step 2: Find the prime factorization of 13443
13443 = 3 x 4481
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 180660477 = 3 x 89 x 151 x 4481
Step 4: Therefore, the least common multiple of 13439 and 13443 is 180660477.