Least Common Multiple of 6307 and 6314
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6307 and 6314 the smallest integer that is 5688914 that is divisible by both numbers.
Least Common Multiple (LCM) of 6307 and 6314 is 5688914.
LCM(6307,6314) = 5688914
LCM of 6307 and 6314
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6307 and 6314 by Prime method
- Least Common Multiple of 6307 and 6314 with GCF Formula
LCM of 6307 and 6314 is 5688914
Least common multiple can be found by multiplying the highest exponent prime factors of 6307 and 6314. First we will calculate the prime factors of 6307 and 6314.
Prime Factorization of 6307
| 7 | 6307 |
| 17 | 901 |
| 53 | 53 |
| 1 |
Prime factors of 6307 are 7, 17,53. Prime factorization of 6307 in exponential form is:
6307 = 71×171×531
Prime Factorization of 6314
| 2 | 6314 |
| 7 | 3157 |
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 6314 are 2, 7, 11,41. Prime factorization of 6314 in exponential form is:
6314 = 21×71×111×411
Now multiplying the highest exponent prime factors to calculate the LCM of 6307 and 6314.
LCM(6307,6314) = 21×71×111×171×411×531
LCM(6307,6314) = 5688914
Factors of 6307
List of positive integer factors of 6307 that divides 6307 without a remainder.
1, 7, 17, 53, 119, 371, 901, 6307
Factors of 6314
List of positive integer factors of 6314 that divides 6314 without a remainder.
1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157, 6314
Least Common Multiple of 6307 and 6314 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6307 and 6314, than apply into the LCM equation.
GCF(6307,6314) = 7
LCM(6307,6314) = ( 6307 × 6314) / 7
LCM(6307,6314) = 39822398 / 7
LCM(6307,6314) = 5688914
Properties of LCM 6307 and 6314
(i) The LCM of 6314 and 6307 is associative
LCM of 6307 and 6314 = LCM of 6314 and 6307
Related Least Common Multiples of 6307
Related Least Common Multiples of 6314
Frequently Asked Questions on LCM of 6307 and 6314
1. What is the LCM of 6307 and 6314?
Answer: LCM of 6307 and 6314 is 5688914.
2. What are the Factors of 6307?
Answer: Factors of 6307 are 1, 7, 17, 53, 119, 371, 901, 6307. There are 8 integers that are factors of 6307. The greatest factor of 6307 is 6307.
3. What are the Factors of 6314?
Answer: Factors of 6314 are 1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157, 6314. There are 16 integers that are factors of 6314. The greatest factor of 6314 is 6314.
4. How to Find the LCM of 6307 and 6314?
Answer:
Least Common Multiple of 6307 and 6314 = 5688914
Step 1: Find the prime factorization of 6307
6307 = 7 x 17 x 53
Step 2: Find the prime factorization of 6314
6314 = 2 x 7 x 11 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5688914 = 2 x 7 x 11 x 17 x 41 x 53
Step 4: Therefore, the least common multiple of 6307 and 6314 is 5688914.