Least Common Multiple of 8359 and 8366
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8359 and 8366 the smallest integer that is 69931394 that is divisible by both numbers.
Least Common Multiple (LCM) of 8359 and 8366 is 69931394.
LCM(8359,8366) = 69931394
LCM of 8359 and 8366
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8359 and 8366 by Prime method
- Least Common Multiple of 8359 and 8366 with GCF Formula
LCM of 8359 and 8366 is 69931394
Least common multiple can be found by multiplying the highest exponent prime factors of 8359 and 8366. First we will calculate the prime factors of 8359 and 8366.
Prime Factorization of 8359
| 13 | 8359 |
| 643 | 643 |
| 1 |
Prime factors of 8359 are 13,643. Prime factorization of 8359 in exponential form is:
8359 = 131×6431
Prime Factorization of 8366
| 2 | 8366 |
| 47 | 4183 |
| 89 | 89 |
| 1 |
Prime factors of 8366 are 2, 47,89. Prime factorization of 8366 in exponential form is:
8366 = 21×471×891
Now multiplying the highest exponent prime factors to calculate the LCM of 8359 and 8366.
LCM(8359,8366) = 21×131×471×891×6431
LCM(8359,8366) = 69931394
Factors of 8359
List of positive integer factors of 8359 that divides 8359 without a remainder.
1, 13, 643, 8359
Factors of 8366
List of positive integer factors of 8366 that divides 8366 without a remainder.
1, 2, 47, 89, 94, 178, 4183, 8366
Least Common Multiple of 8359 and 8366 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8359 and 8366, than apply into the LCM equation.
GCF(8359,8366) = 1
LCM(8359,8366) = ( 8359 × 8366) / 1
LCM(8359,8366) = 69931394 / 1
LCM(8359,8366) = 69931394
Properties of LCM 8359 and 8366
(i) The LCM of 8366 and 8359 is associative
LCM of 8359 and 8366 = LCM of 8366 and 8359
Related Least Common Multiples of 8359
Related Least Common Multiples of 8366
Frequently Asked Questions on LCM of 8359 and 8366
1. What is the LCM of 8359 and 8366?
Answer: LCM of 8359 and 8366 is 69931394.
2. What are the Factors of 8359?
Answer: Factors of 8359 are 1, 13, 643, 8359. There are 4 integers that are factors of 8359. The greatest factor of 8359 is 8359.
3. What are the Factors of 8366?
Answer: Factors of 8366 are 1, 2, 47, 89, 94, 178, 4183, 8366. There are 8 integers that are factors of 8366. The greatest factor of 8366 is 8366.
4. How to Find the LCM of 8359 and 8366?
Answer:
Least Common Multiple of 8359 and 8366 = 69931394
Step 1: Find the prime factorization of 8359
8359 = 13 x 643
Step 2: Find the prime factorization of 8366
8366 = 2 x 47 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69931394 = 2 x 13 x 47 x 89 x 643
Step 4: Therefore, the least common multiple of 8359 and 8366 is 69931394.