Least Common Multiple of 8341 and 8346
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8341 and 8346 the smallest integer that is 69613986 that is divisible by both numbers.
Least Common Multiple (LCM) of 8341 and 8346 is 69613986.
LCM(8341,8346) = 69613986
LCM of 8341 and 8346
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8341 and 8346 by Prime method
- Least Common Multiple of 8341 and 8346 with GCF Formula
LCM of 8341 and 8346 is 69613986
Least common multiple can be found by multiplying the highest exponent prime factors of 8341 and 8346. First we will calculate the prime factors of 8341 and 8346.
Prime Factorization of 8341
| 19 | 8341 |
| 439 | 439 |
| 1 |
Prime factors of 8341 are 19,439. Prime factorization of 8341 in exponential form is:
8341 = 191×4391
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8341 and 8346.
LCM(8341,8346) = 21×31×131×191×1071×4391
LCM(8341,8346) = 69613986
Factors of 8341
List of positive integer factors of 8341 that divides 8341 without a remainder.
1, 19, 439, 8341
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
Least Common Multiple of 8341 and 8346 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8341 and 8346, than apply into the LCM equation.
GCF(8341,8346) = 1
LCM(8341,8346) = ( 8341 × 8346) / 1
LCM(8341,8346) = 69613986 / 1
LCM(8341,8346) = 69613986
Properties of LCM 8341 and 8346
(i) The LCM of 8346 and 8341 is associative
LCM of 8341 and 8346 = LCM of 8346 and 8341
Related Least Common Multiples of 8341
Related Least Common Multiples of 8346
Frequently Asked Questions on LCM of 8341 and 8346
1. What is the LCM of 8341 and 8346?
Answer: LCM of 8341 and 8346 is 69613986.
2. What are the Factors of 8341?
Answer: Factors of 8341 are 1, 19, 439, 8341. There are 4 integers that are factors of 8341. The greatest factor of 8341 is 8341.
3. 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.
4. How to Find the LCM of 8341 and 8346?
Answer:
Least Common Multiple of 8341 and 8346 = 69613986
Step 1: Find the prime factorization of 8341
8341 = 19 x 439
Step 2: Find the prime factorization of 8346
8346 = 2 x 3 x 13 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69613986 = 2 x 3 x 13 x 19 x 107 x 439
Step 4: Therefore, the least common multiple of 8341 and 8346 is 69613986.