Least Common Multiple of 6383 and 6391
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6383 and 6391 the smallest integer that is 40793753 that is divisible by both numbers.
Least Common Multiple (LCM) of 6383 and 6391 is 40793753.
LCM(6383,6391) = 40793753
LCM of 6383 and 6391
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6383 and 6391 by Prime method
- Least Common Multiple of 6383 and 6391 with GCF Formula
LCM of 6383 and 6391 is 40793753
Least common multiple can be found by multiplying the highest exponent prime factors of 6383 and 6391. First we will calculate the prime factors of 6383 and 6391.
Prime Factorization of 6383
| 13 | 6383 |
| 491 | 491 |
| 1 |
Prime factors of 6383 are 13,491. Prime factorization of 6383 in exponential form is:
6383 = 131×4911
Prime Factorization of 6391
| 7 | 6391 |
| 11 | 913 |
| 83 | 83 |
| 1 |
Prime factors of 6391 are 7, 11,83. Prime factorization of 6391 in exponential form is:
6391 = 71×111×831
Now multiplying the highest exponent prime factors to calculate the LCM of 6383 and 6391.
LCM(6383,6391) = 71×111×131×831×4911
LCM(6383,6391) = 40793753
Factors of 6383
List of positive integer factors of 6383 that divides 6383 without a remainder.
1, 13, 491, 6383
Factors of 6391
List of positive integer factors of 6391 that divides 6391 without a remainder.
1, 7, 11, 77, 83, 581, 913, 6391
Least Common Multiple of 6383 and 6391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6383 and 6391, than apply into the LCM equation.
GCF(6383,6391) = 1
LCM(6383,6391) = ( 6383 × 6391) / 1
LCM(6383,6391) = 40793753 / 1
LCM(6383,6391) = 40793753
Properties of LCM 6383 and 6391
(i) The LCM of 6391 and 6383 is associative
LCM of 6383 and 6391 = LCM of 6391 and 6383
Related Least Common Multiples of 6383
Related Least Common Multiples of 6391
Frequently Asked Questions on LCM of 6383 and 6391
1. What is the LCM of 6383 and 6391?
Answer: LCM of 6383 and 6391 is 40793753.
2. What are the Factors of 6383?
Answer: Factors of 6383 are 1, 13, 491, 6383. There are 4 integers that are factors of 6383. The greatest factor of 6383 is 6383.
3. What are the Factors of 6391?
Answer: Factors of 6391 are 1, 7, 11, 77, 83, 581, 913, 6391. There are 8 integers that are factors of 6391. The greatest factor of 6391 is 6391.
4. How to Find the LCM of 6383 and 6391?
Answer:
Least Common Multiple of 6383 and 6391 = 40793753
Step 1: Find the prime factorization of 6383
6383 = 13 x 491
Step 2: Find the prime factorization of 6391
6391 = 7 x 11 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40793753 = 7 x 11 x 13 x 83 x 491
Step 4: Therefore, the least common multiple of 6383 and 6391 is 40793753.