Least Common Multiple of 4298 and 4303
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4298 and 4303 the smallest integer that is 18494294 that is divisible by both numbers.
Least Common Multiple (LCM) of 4298 and 4303 is 18494294.
LCM(4298,4303) = 18494294
LCM of 4298 and 4303
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4298 and 4303 by Prime method
- Least Common Multiple of 4298 and 4303 with GCF Formula
LCM of 4298 and 4303 is 18494294
Least common multiple can be found by multiplying the highest exponent prime factors of 4298 and 4303. First we will calculate the prime factors of 4298 and 4303.
Prime Factorization of 4298
| 2 | 4298 |
| 7 | 2149 |
| 307 | 307 |
| 1 |
Prime factors of 4298 are 2, 7,307. Prime factorization of 4298 in exponential form is:
4298 = 21×71×3071
Prime Factorization of 4303
| 13 | 4303 |
| 331 | 331 |
| 1 |
Prime factors of 4303 are 13,331. Prime factorization of 4303 in exponential form is:
4303 = 131×3311
Now multiplying the highest exponent prime factors to calculate the LCM of 4298 and 4303.
LCM(4298,4303) = 21×71×131×3071×3311
LCM(4298,4303) = 18494294
Factors of 4298
List of positive integer factors of 4298 that divides 4298 without a remainder.
1, 2, 7, 14, 307, 614, 2149, 4298
Factors of 4303
List of positive integer factors of 4303 that divides 4303 without a remainder.
1, 13, 331, 4303
Least Common Multiple of 4298 and 4303 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4298 and 4303, than apply into the LCM equation.
GCF(4298,4303) = 1
LCM(4298,4303) = ( 4298 × 4303) / 1
LCM(4298,4303) = 18494294 / 1
LCM(4298,4303) = 18494294
Properties of LCM 4298 and 4303
(i) The LCM of 4303 and 4298 is associative
LCM of 4298 and 4303 = LCM of 4303 and 4298
Related Least Common Multiples of 4298
Related Least Common Multiples of 4303
Frequently Asked Questions on LCM of 4298 and 4303
1. What is the LCM of 4298 and 4303?
Answer: LCM of 4298 and 4303 is 18494294.
2. What are the Factors of 4298?
Answer: Factors of 4298 are 1, 2, 7, 14, 307, 614, 2149, 4298. There are 8 integers that are factors of 4298. The greatest factor of 4298 is 4298.
3. What are the Factors of 4303?
Answer: Factors of 4303 are 1, 13, 331, 4303. There are 4 integers that are factors of 4303. The greatest factor of 4303 is 4303.
4. How to Find the LCM of 4298 and 4303?
Answer:
Least Common Multiple of 4298 and 4303 = 18494294
Step 1: Find the prime factorization of 4298
4298 = 2 x 7 x 307
Step 2: Find the prime factorization of 4303
4303 = 13 x 331
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18494294 = 2 x 7 x 13 x 307 x 331
Step 4: Therefore, the least common multiple of 4298 and 4303 is 18494294.