Least Common Multiple of 13361 and 13369
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13361 and 13369 the smallest integer that is 178623209 that is divisible by both numbers.
Least Common Multiple (LCM) of 13361 and 13369 is 178623209.
LCM(13361,13369) = 178623209
LCM of 13361 and 13369
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13361 and 13369 by Prime method
- Least Common Multiple of 13361 and 13369 with GCF Formula
LCM of 13361 and 13369 is 178623209
Least common multiple can be found by multiplying the highest exponent prime factors of 13361 and 13369. First we will calculate the prime factors of 13361 and 13369.
Prime Factorization of 13361
| 31 | 13361 |
| 431 | 431 |
| 1 |
Prime factors of 13361 are 31,431. Prime factorization of 13361 in exponential form is:
13361 = 311×4311
Prime Factorization of 13369
| 29 | 13369 |
| 461 | 461 |
| 1 |
Prime factors of 13369 are 29,461. Prime factorization of 13369 in exponential form is:
13369 = 291×4611
Now multiplying the highest exponent prime factors to calculate the LCM of 13361 and 13369.
LCM(13361,13369) = 291×311×4311×4611
LCM(13361,13369) = 178623209
Factors of 13361
List of positive integer factors of 13361 that divides 13361 without a remainder.
1, 31, 431, 13361
Factors of 13369
List of positive integer factors of 13369 that divides 13369 without a remainder.
1, 29, 461, 13369
Least Common Multiple of 13361 and 13369 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13361 and 13369, than apply into the LCM equation.
GCF(13361,13369) = 1
LCM(13361,13369) = ( 13361 × 13369) / 1
LCM(13361,13369) = 178623209 / 1
LCM(13361,13369) = 178623209
Properties of LCM 13361 and 13369
(i) The LCM of 13369 and 13361 is associative
LCM of 13361 and 13369 = LCM of 13369 and 13361
Related Least Common Multiples of 13361
Related Least Common Multiples of 13369
Frequently Asked Questions on LCM of 13361 and 13369
1. What is the LCM of 13361 and 13369?
Answer: LCM of 13361 and 13369 is 178623209.
2. What are the Factors of 13361?
Answer: Factors of 13361 are 1, 31, 431, 13361. There are 4 integers that are factors of 13361. The greatest factor of 13361 is 13361.
3. What are the Factors of 13369?
Answer: Factors of 13369 are 1, 29, 461, 13369. There are 4 integers that are factors of 13369. The greatest factor of 13369 is 13369.
4. How to Find the LCM of 13361 and 13369?
Answer:
Least Common Multiple of 13361 and 13369 = 178623209
Step 1: Find the prime factorization of 13361
13361 = 31 x 431
Step 2: Find the prime factorization of 13369
13369 = 29 x 461
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 178623209 = 29 x 31 x 431 x 461
Step 4: Therefore, the least common multiple of 13361 and 13369 is 178623209.