Least Common Multiple of 13455 and 13462
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13455 and 13462 the smallest integer that is 181131210 that is divisible by both numbers.
Least Common Multiple (LCM) of 13455 and 13462 is 181131210.
LCM(13455,13462) = 181131210
LCM of 13455 and 13462
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13455 and 13462 by Prime method
- Least Common Multiple of 13455 and 13462 with GCF Formula
LCM of 13455 and 13462 is 181131210
Least common multiple can be found by multiplying the highest exponent prime factors of 13455 and 13462. First we will calculate the prime factors of 13455 and 13462.
Prime Factorization of 13455
| 3 | 13455 |
| 3 | 4485 |
| 5 | 1495 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 13455 are 3, 5, 13,23. Prime factorization of 13455 in exponential form is:
13455 = 32×51×131×231
Prime Factorization of 13462
| 2 | 13462 |
| 53 | 6731 |
| 127 | 127 |
| 1 |
Prime factors of 13462 are 2, 53,127. Prime factorization of 13462 in exponential form is:
13462 = 21×531×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 13455 and 13462.
LCM(13455,13462) = 21×32×51×131×231×531×1271
LCM(13455,13462) = 181131210
Factors of 13455
List of positive integer factors of 13455 that divides 13455 without a remainder.
1, 3, 5, 9, 13, 15, 23, 39, 45, 65, 69, 115, 117, 195, 207, 299, 345, 585, 897, 1035, 1495, 2691, 4485, 13455
Factors of 13462
List of positive integer factors of 13462 that divides 13462 without a remainder.
1, 2, 53, 106, 127, 254, 6731, 13462
Least Common Multiple of 13455 and 13462 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13455 and 13462, than apply into the LCM equation.
GCF(13455,13462) = 1
LCM(13455,13462) = ( 13455 × 13462) / 1
LCM(13455,13462) = 181131210 / 1
LCM(13455,13462) = 181131210
Properties of LCM 13455 and 13462
(i) The LCM of 13462 and 13455 is associative
LCM of 13455 and 13462 = LCM of 13462 and 13455
Related Least Common Multiples of 13455
Related Least Common Multiples of 13462
Frequently Asked Questions on LCM of 13455 and 13462
1. What is the LCM of 13455 and 13462?
Answer: LCM of 13455 and 13462 is 181131210.
2. What are the Factors of 13455?
Answer: Factors of 13455 are 1, 3, 5, 9, 13, 15, 23, 39, 45, 65, 69, 115, 117, 195, 207, 299, 345, 585, 897, 1035, 1495, 2691, 4485, 13455. There are 24 integers that are factors of 13455. The greatest factor of 13455 is 13455.
3. What are the Factors of 13462?
Answer: Factors of 13462 are 1, 2, 53, 106, 127, 254, 6731, 13462. There are 8 integers that are factors of 13462. The greatest factor of 13462 is 13462.
4. How to Find the LCM of 13455 and 13462?
Answer:
Least Common Multiple of 13455 and 13462 = 181131210
Step 1: Find the prime factorization of 13455
13455 = 3 x 3 x 5 x 13 x 23
Step 2: Find the prime factorization of 13462
13462 = 2 x 53 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 181131210 = 2 x 3 x 3 x 5 x 13 x 23 x 53 x 127
Step 4: Therefore, the least common multiple of 13455 and 13462 is 181131210.