Least Common Multiple of 8294 and 8299
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8294 and 8299 the smallest integer that is 68831906 that is divisible by both numbers.
Least Common Multiple (LCM) of 8294 and 8299 is 68831906.
LCM(8294,8299) = 68831906
LCM of 8294 and 8299
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8294 and 8299 by Prime method
- Least Common Multiple of 8294 and 8299 with GCF Formula
LCM of 8294 and 8299 is 68831906
Least common multiple can be found by multiplying the highest exponent prime factors of 8294 and 8299. First we will calculate the prime factors of 8294 and 8299.
Prime Factorization of 8294
| 2 | 8294 |
| 11 | 4147 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 8294 are 2, 11, 13,29. Prime factorization of 8294 in exponential form is:
8294 = 21×111×131×291
Prime Factorization of 8299
| 43 | 8299 |
| 193 | 193 |
| 1 |
Prime factors of 8299 are 43,193. Prime factorization of 8299 in exponential form is:
8299 = 431×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 8294 and 8299.
LCM(8294,8299) = 21×111×131×291×431×1931
LCM(8294,8299) = 68831906
Factors of 8294
List of positive integer factors of 8294 that divides 8294 without a remainder.
1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147, 8294
Factors of 8299
List of positive integer factors of 8299 that divides 8299 without a remainder.
1, 43, 193, 8299
Least Common Multiple of 8294 and 8299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8294 and 8299, than apply into the LCM equation.
GCF(8294,8299) = 1
LCM(8294,8299) = ( 8294 × 8299) / 1
LCM(8294,8299) = 68831906 / 1
LCM(8294,8299) = 68831906
Properties of LCM 8294 and 8299
(i) The LCM of 8299 and 8294 is associative
LCM of 8294 and 8299 = LCM of 8299 and 8294
Related Least Common Multiples of 8294
Related Least Common Multiples of 8299
Frequently Asked Questions on LCM of 8294 and 8299
1. What is the LCM of 8294 and 8299?
Answer: LCM of 8294 and 8299 is 68831906.
2. What are the Factors of 8294?
Answer: Factors of 8294 are 1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147, 8294. There are 16 integers that are factors of 8294. The greatest factor of 8294 is 8294.
3. What are the Factors of 8299?
Answer: Factors of 8299 are 1, 43, 193, 8299. There are 4 integers that are factors of 8299. The greatest factor of 8299 is 8299.
4. How to Find the LCM of 8294 and 8299?
Answer:
Least Common Multiple of 8294 and 8299 = 68831906
Step 1: Find the prime factorization of 8294
8294 = 2 x 11 x 13 x 29
Step 2: Find the prime factorization of 8299
8299 = 43 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68831906 = 2 x 11 x 13 x 29 x 43 x 193
Step 4: Therefore, the least common multiple of 8294 and 8299 is 68831906.