Least Common Multiple of 8333 and 8338
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8333 and 8338 the smallest integer that is 69480554 that is divisible by both numbers.
Least Common Multiple (LCM) of 8333 and 8338 is 69480554.
LCM(8333,8338) = 69480554
LCM of 8333 and 8338
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8333 and 8338 by Prime method
- Least Common Multiple of 8333 and 8338 with GCF Formula
LCM of 8333 and 8338 is 69480554
Least common multiple can be found by multiplying the highest exponent prime factors of 8333 and 8338. First we will calculate the prime factors of 8333 and 8338.
Prime Factorization of 8333
| 13 | 8333 |
| 641 | 641 |
| 1 |
Prime factors of 8333 are 13,641. Prime factorization of 8333 in exponential form is:
8333 = 131×6411
Prime Factorization of 8338
| 2 | 8338 |
| 11 | 4169 |
| 379 | 379 |
| 1 |
Prime factors of 8338 are 2, 11,379. Prime factorization of 8338 in exponential form is:
8338 = 21×111×3791
Now multiplying the highest exponent prime factors to calculate the LCM of 8333 and 8338.
LCM(8333,8338) = 21×111×131×3791×6411
LCM(8333,8338) = 69480554
Factors of 8333
List of positive integer factors of 8333 that divides 8333 without a remainder.
1, 13, 641, 8333
Factors of 8338
List of positive integer factors of 8338 that divides 8338 without a remainder.
1, 2, 11, 22, 379, 758, 4169, 8338
Least Common Multiple of 8333 and 8338 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8333 and 8338, than apply into the LCM equation.
GCF(8333,8338) = 1
LCM(8333,8338) = ( 8333 × 8338) / 1
LCM(8333,8338) = 69480554 / 1
LCM(8333,8338) = 69480554
Properties of LCM 8333 and 8338
(i) The LCM of 8338 and 8333 is associative
LCM of 8333 and 8338 = LCM of 8338 and 8333
Related Least Common Multiples of 8333
Related Least Common Multiples of 8338
Frequently Asked Questions on LCM of 8333 and 8338
1. What is the LCM of 8333 and 8338?
Answer: LCM of 8333 and 8338 is 69480554.
2. What are the Factors of 8333?
Answer: Factors of 8333 are 1, 13, 641, 8333. There are 4 integers that are factors of 8333. The greatest factor of 8333 is 8333.
3. What are the Factors of 8338?
Answer: Factors of 8338 are 1, 2, 11, 22, 379, 758, 4169, 8338. There are 8 integers that are factors of 8338. The greatest factor of 8338 is 8338.
4. How to Find the LCM of 8333 and 8338?
Answer:
Least Common Multiple of 8333 and 8338 = 69480554
Step 1: Find the prime factorization of 8333
8333 = 13 x 641
Step 2: Find the prime factorization of 8338
8338 = 2 x 11 x 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69480554 = 2 x 11 x 13 x 379 x 641
Step 4: Therefore, the least common multiple of 8333 and 8338 is 69480554.