Least Common Multiple of 8393 and 8399
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8393 and 8399 the smallest integer that is 70492807 that is divisible by both numbers.
Least Common Multiple (LCM) of 8393 and 8399 is 70492807.
LCM(8393,8399) = 70492807
LCM of 8393 and 8399
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8393 and 8399 by Prime method
- Least Common Multiple of 8393 and 8399 with GCF Formula
LCM of 8393 and 8399 is 70492807
Least common multiple can be found by multiplying the highest exponent prime factors of 8393 and 8399. First we will calculate the prime factors of 8393 and 8399.
Prime Factorization of 8393
| 7 | 8393 |
| 11 | 1199 |
| 109 | 109 |
| 1 |
Prime factors of 8393 are 7, 11,109. Prime factorization of 8393 in exponential form is:
8393 = 71×111×1091
Prime Factorization of 8399
| 37 | 8399 |
| 227 | 227 |
| 1 |
Prime factors of 8399 are 37,227. Prime factorization of 8399 in exponential form is:
8399 = 371×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 8393 and 8399.
LCM(8393,8399) = 71×111×371×1091×2271
LCM(8393,8399) = 70492807
Factors of 8393
List of positive integer factors of 8393 that divides 8393 without a remainder.
1, 7, 11, 77, 109, 763, 1199, 8393
Factors of 8399
List of positive integer factors of 8399 that divides 8399 without a remainder.
1, 37, 227, 8399
Least Common Multiple of 8393 and 8399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8393 and 8399, than apply into the LCM equation.
GCF(8393,8399) = 1
LCM(8393,8399) = ( 8393 × 8399) / 1
LCM(8393,8399) = 70492807 / 1
LCM(8393,8399) = 70492807
Properties of LCM 8393 and 8399
(i) The LCM of 8399 and 8393 is associative
LCM of 8393 and 8399 = LCM of 8399 and 8393
Related Least Common Multiples of 8393
Related Least Common Multiples of 8399
Frequently Asked Questions on LCM of 8393 and 8399
1. What is the LCM of 8393 and 8399?
Answer: LCM of 8393 and 8399 is 70492807.
2. What are the Factors of 8393?
Answer: Factors of 8393 are 1, 7, 11, 77, 109, 763, 1199, 8393. There are 8 integers that are factors of 8393. The greatest factor of 8393 is 8393.
3. What are the Factors of 8399?
Answer: Factors of 8399 are 1, 37, 227, 8399. There are 4 integers that are factors of 8399. The greatest factor of 8399 is 8399.
4. How to Find the LCM of 8393 and 8399?
Answer:
Least Common Multiple of 8393 and 8399 = 70492807
Step 1: Find the prime factorization of 8393
8393 = 7 x 11 x 109
Step 2: Find the prime factorization of 8399
8399 = 37 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70492807 = 7 x 11 x 37 x 109 x 227
Step 4: Therefore, the least common multiple of 8393 and 8399 is 70492807.