Least Common Multiple of 8346 and 8353
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8346 and 8353 the smallest integer that is 69714138 that is divisible by both numbers.
Least Common Multiple (LCM) of 8346 and 8353 is 69714138.
LCM(8346,8353) = 69714138
LCM of 8346 and 8353
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8346 and 8353 by Prime method
- Least Common Multiple of 8346 and 8353 with GCF Formula
LCM of 8346 and 8353 is 69714138
Least common multiple can be found by multiplying the highest exponent prime factors of 8346 and 8353. First we will calculate the prime factors of 8346 and 8353.
Prime Factorization of 8346
| 2 | 8346 |
| 3 | 4173 |
| 13 | 1391 |
| 107 | 107 |
| 1 |
Prime factors of 8346 are 2, 3, 13,107. Prime factorization of 8346 in exponential form is:
8346 = 21×31×131×1071
Prime Factorization of 8353
| 8353 | 8353 |
| 1 |
Prime factors of 8353 are 8353. Prime factorization of 8353 in exponential form is:
8353 = 83531
Now multiplying the highest exponent prime factors to calculate the LCM of 8346 and 8353.
LCM(8346,8353) = 21×31×131×1071×83531
LCM(8346,8353) = 69714138
Factors of 8346
List of positive integer factors of 8346 that divides 8346 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346
Factors of 8353
List of positive integer factors of 8353 that divides 8353 without a remainder.
1, 8353
Least Common Multiple of 8346 and 8353 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8346 and 8353, than apply into the LCM equation.
GCF(8346,8353) = 1
LCM(8346,8353) = ( 8346 × 8353) / 1
LCM(8346,8353) = 69714138 / 1
LCM(8346,8353) = 69714138
Properties of LCM 8346 and 8353
(i) The LCM of 8353 and 8346 is associative
LCM of 8346 and 8353 = LCM of 8353 and 8346
Related Least Common Multiples of 8346
Related Least Common Multiples of 8353
Frequently Asked Questions on LCM of 8346 and 8353
1. What is the LCM of 8346 and 8353?
Answer: LCM of 8346 and 8353 is 69714138.
2. What are the Factors of 8346?
Answer: Factors of 8346 are 1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346. There are 16 integers that are factors of 8346. The greatest factor of 8346 is 8346.
3. What are the Factors of 8353?
Answer: Factors of 8353 are 1, 8353. There are 2 integers that are factors of 8353. The greatest factor of 8353 is 8353.
4. How to Find the LCM of 8346 and 8353?
Answer:
Least Common Multiple of 8346 and 8353 = 69714138
Step 1: Find the prime factorization of 8346
8346 = 2 x 3 x 13 x 107
Step 2: Find the prime factorization of 8353
8353 = 8353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69714138 = 2 x 3 x 13 x 107 x 8353
Step 4: Therefore, the least common multiple of 8346 and 8353 is 69714138.