Least Common Multiple of 13351 and 13355
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13351 and 13355 the smallest integer that is 178302605 that is divisible by both numbers.
Least Common Multiple (LCM) of 13351 and 13355 is 178302605.
LCM(13351,13355) = 178302605
LCM of 13351 and 13355
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13351 and 13355 by Prime method
- Least Common Multiple of 13351 and 13355 with GCF Formula
LCM of 13351 and 13355 is 178302605
Least common multiple can be found by multiplying the highest exponent prime factors of 13351 and 13355. First we will calculate the prime factors of 13351 and 13355.
Prime Factorization of 13351
| 13 | 13351 |
| 13 | 1027 |
| 79 | 79 |
| 1 |
Prime factors of 13351 are 13,79. Prime factorization of 13351 in exponential form is:
13351 = 132×791
Prime Factorization of 13355
| 5 | 13355 |
| 2671 | 2671 |
| 1 |
Prime factors of 13355 are 5,2671. Prime factorization of 13355 in exponential form is:
13355 = 51×26711
Now multiplying the highest exponent prime factors to calculate the LCM of 13351 and 13355.
LCM(13351,13355) = 51×132×791×26711
LCM(13351,13355) = 178302605
Factors of 13351
List of positive integer factors of 13351 that divides 13351 without a remainder.
1, 13, 79, 169, 1027, 13351
Factors of 13355
List of positive integer factors of 13355 that divides 13355 without a remainder.
1, 5, 2671, 13355
Least Common Multiple of 13351 and 13355 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13351 and 13355, than apply into the LCM equation.
GCF(13351,13355) = 1
LCM(13351,13355) = ( 13351 × 13355) / 1
LCM(13351,13355) = 178302605 / 1
LCM(13351,13355) = 178302605
Properties of LCM 13351 and 13355
(i) The LCM of 13355 and 13351 is associative
LCM of 13351 and 13355 = LCM of 13355 and 13351
Related Least Common Multiples of 13351
Related Least Common Multiples of 13355
Frequently Asked Questions on LCM of 13351 and 13355
1. What is the LCM of 13351 and 13355?
Answer: LCM of 13351 and 13355 is 178302605.
2. What are the Factors of 13351?
Answer: Factors of 13351 are 1, 13, 79, 169, 1027, 13351. There are 6 integers that are factors of 13351. The greatest factor of 13351 is 13351.
3. What are the Factors of 13355?
Answer: Factors of 13355 are 1, 5, 2671, 13355. There are 4 integers that are factors of 13355. The greatest factor of 13355 is 13355.
4. How to Find the LCM of 13351 and 13355?
Answer:
Least Common Multiple of 13351 and 13355 = 178302605
Step 1: Find the prime factorization of 13351
13351 = 13 x 13 x 79
Step 2: Find the prime factorization of 13355
13355 = 5 x 2671
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 178302605 = 5 x 13 x 13 x 79 x 2671
Step 4: Therefore, the least common multiple of 13351 and 13355 is 178302605.