Least Common Multiple of 8333 and 8339
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 8339 the smallest integer that is 69488887 that is divisible by both numbers.
Least Common Multiple (LCM) of 8333 and 8339 is 69488887.
LCM(8333,8339) = 69488887
LCM of 8333 and 8339
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8333 and 8339 by Prime method
- Least Common Multiple of 8333 and 8339 with GCF Formula
LCM of 8333 and 8339 is 69488887
Least common multiple can be found by multiplying the highest exponent prime factors of 8333 and 8339. First we will calculate the prime factors of 8333 and 8339.
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 8339
| 31 | 8339 |
| 269 | 269 |
| 1 |
Prime factors of 8339 are 31,269. Prime factorization of 8339 in exponential form is:
8339 = 311×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 8333 and 8339.
LCM(8333,8339) = 131×311×2691×6411
LCM(8333,8339) = 69488887
Factors of 8333
List of positive integer factors of 8333 that divides 8333 without a remainder.
1, 13, 641, 8333
Factors of 8339
List of positive integer factors of 8339 that divides 8339 without a remainder.
1, 31, 269, 8339
Least Common Multiple of 8333 and 8339 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 8339, than apply into the LCM equation.
GCF(8333,8339) = 1
LCM(8333,8339) = ( 8333 × 8339) / 1
LCM(8333,8339) = 69488887 / 1
LCM(8333,8339) = 69488887
Properties of LCM 8333 and 8339
(i) The LCM of 8339 and 8333 is associative
LCM of 8333 and 8339 = LCM of 8339 and 8333
Related Least Common Multiples of 8333
Related Least Common Multiples of 8339
Frequently Asked Questions on LCM of 8333 and 8339
1. What is the LCM of 8333 and 8339?
Answer: LCM of 8333 and 8339 is 69488887.
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 8339?
Answer: Factors of 8339 are 1, 31, 269, 8339. There are 4 integers that are factors of 8339. The greatest factor of 8339 is 8339.
4. How to Find the LCM of 8333 and 8339?
Answer:
Least Common Multiple of 8333 and 8339 = 69488887
Step 1: Find the prime factorization of 8333
8333 = 13 x 641
Step 2: Find the prime factorization of 8339
8339 = 31 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69488887 = 13 x 31 x 269 x 641
Step 4: Therefore, the least common multiple of 8333 and 8339 is 69488887.