Least Common Multiple of 8298 and 8303
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8298 and 8303 the smallest integer that is 68898294 that is divisible by both numbers.
Least Common Multiple (LCM) of 8298 and 8303 is 68898294.
LCM(8298,8303) = 68898294
LCM of 8298 and 8303
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8298 and 8303 by Prime method
- Least Common Multiple of 8298 and 8303 with GCF Formula
LCM of 8298 and 8303 is 68898294
Least common multiple can be found by multiplying the highest exponent prime factors of 8298 and 8303. First we will calculate the prime factors of 8298 and 8303.
Prime Factorization of 8298
| 2 | 8298 |
| 3 | 4149 |
| 3 | 1383 |
| 461 | 461 |
| 1 |
Prime factors of 8298 are 2, 3,461. Prime factorization of 8298 in exponential form is:
8298 = 21×32×4611
Prime Factorization of 8303
| 19 | 8303 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 8303 are 19,23. Prime factorization of 8303 in exponential form is:
8303 = 192×231
Now multiplying the highest exponent prime factors to calculate the LCM of 8298 and 8303.
LCM(8298,8303) = 21×32×192×231×4611
LCM(8298,8303) = 68898294
Factors of 8298
List of positive integer factors of 8298 that divides 8298 without a remainder.
1, 2, 3, 6, 9, 18, 461, 922, 1383, 2766, 4149, 8298
Factors of 8303
List of positive integer factors of 8303 that divides 8303 without a remainder.
1, 19, 23, 361, 437, 8303
Least Common Multiple of 8298 and 8303 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8298 and 8303, than apply into the LCM equation.
GCF(8298,8303) = 1
LCM(8298,8303) = ( 8298 × 8303) / 1
LCM(8298,8303) = 68898294 / 1
LCM(8298,8303) = 68898294
Properties of LCM 8298 and 8303
(i) The LCM of 8303 and 8298 is associative
LCM of 8298 and 8303 = LCM of 8303 and 8298
Related Least Common Multiples of 8298
Related Least Common Multiples of 8303
Frequently Asked Questions on LCM of 8298 and 8303
1. What is the LCM of 8298 and 8303?
Answer: LCM of 8298 and 8303 is 68898294.
2. What are the Factors of 8298?
Answer: Factors of 8298 are 1, 2, 3, 6, 9, 18, 461, 922, 1383, 2766, 4149, 8298. There are 12 integers that are factors of 8298. The greatest factor of 8298 is 8298.
3. What are the Factors of 8303?
Answer: Factors of 8303 are 1, 19, 23, 361, 437, 8303. There are 6 integers that are factors of 8303. The greatest factor of 8303 is 8303.
4. How to Find the LCM of 8298 and 8303?
Answer:
Least Common Multiple of 8298 and 8303 = 68898294
Step 1: Find the prime factorization of 8298
8298 = 2 x 3 x 3 x 461
Step 2: Find the prime factorization of 8303
8303 = 19 x 19 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68898294 = 2 x 3 x 3 x 19 x 19 x 23 x 461
Step 4: Therefore, the least common multiple of 8298 and 8303 is 68898294.