Least Common Multiple of 8333 and 8337
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 8337 the smallest integer that is 69472221 that is divisible by both numbers.
Least Common Multiple (LCM) of 8333 and 8337 is 69472221.
LCM(8333,8337) = 69472221
LCM of 8333 and 8337
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8333 and 8337 by Prime method
- Least Common Multiple of 8333 and 8337 with GCF Formula
LCM of 8333 and 8337 is 69472221
Least common multiple can be found by multiplying the highest exponent prime factors of 8333 and 8337. First we will calculate the prime factors of 8333 and 8337.
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 8337
| 3 | 8337 |
| 7 | 2779 |
| 397 | 397 |
| 1 |
Prime factors of 8337 are 3, 7,397. Prime factorization of 8337 in exponential form is:
8337 = 31×71×3971
Now multiplying the highest exponent prime factors to calculate the LCM of 8333 and 8337.
LCM(8333,8337) = 31×71×131×3971×6411
LCM(8333,8337) = 69472221
Factors of 8333
List of positive integer factors of 8333 that divides 8333 without a remainder.
1, 13, 641, 8333
Factors of 8337
List of positive integer factors of 8337 that divides 8337 without a remainder.
1, 3, 7, 21, 397, 1191, 2779, 8337
Least Common Multiple of 8333 and 8337 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 8337, than apply into the LCM equation.
GCF(8333,8337) = 1
LCM(8333,8337) = ( 8333 × 8337) / 1
LCM(8333,8337) = 69472221 / 1
LCM(8333,8337) = 69472221
Properties of LCM 8333 and 8337
(i) The LCM of 8337 and 8333 is associative
LCM of 8333 and 8337 = LCM of 8337 and 8333
Related Least Common Multiples of 8333
Related Least Common Multiples of 8337
Frequently Asked Questions on LCM of 8333 and 8337
1. What is the LCM of 8333 and 8337?
Answer: LCM of 8333 and 8337 is 69472221.
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 8337?
Answer: Factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337. There are 8 integers that are factors of 8337. The greatest factor of 8337 is 8337.
4. How to Find the LCM of 8333 and 8337?
Answer:
Least Common Multiple of 8333 and 8337 = 69472221
Step 1: Find the prime factorization of 8333
8333 = 13 x 641
Step 2: Find the prime factorization of 8337
8337 = 3 x 7 x 397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69472221 = 3 x 7 x 13 x 397 x 641
Step 4: Therefore, the least common multiple of 8333 and 8337 is 69472221.