Least Common Multiple of 6313 and 6321
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6313 and 6321 the smallest integer that is 39904473 that is divisible by both numbers.
Least Common Multiple (LCM) of 6313 and 6321 is 39904473.
LCM(6313,6321) = 39904473
LCM of 6313 and 6321
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6313 and 6321 by Prime method
- Least Common Multiple of 6313 and 6321 with GCF Formula
LCM of 6313 and 6321 is 39904473
Least common multiple can be found by multiplying the highest exponent prime factors of 6313 and 6321. First we will calculate the prime factors of 6313 and 6321.
Prime Factorization of 6313
| 59 | 6313 |
| 107 | 107 |
| 1 |
Prime factors of 6313 are 59,107. Prime factorization of 6313 in exponential form is:
6313 = 591×1071
Prime Factorization of 6321
| 3 | 6321 |
| 7 | 2107 |
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 6321 are 3, 7,43. Prime factorization of 6321 in exponential form is:
6321 = 31×72×431
Now multiplying the highest exponent prime factors to calculate the LCM of 6313 and 6321.
LCM(6313,6321) = 31×72×431×591×1071
LCM(6313,6321) = 39904473
Factors of 6313
List of positive integer factors of 6313 that divides 6313 without a remainder.
1, 59, 107, 6313
Factors of 6321
List of positive integer factors of 6321 that divides 6321 without a remainder.
1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321
Least Common Multiple of 6313 and 6321 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6313 and 6321, than apply into the LCM equation.
GCF(6313,6321) = 1
LCM(6313,6321) = ( 6313 × 6321) / 1
LCM(6313,6321) = 39904473 / 1
LCM(6313,6321) = 39904473
Properties of LCM 6313 and 6321
(i) The LCM of 6321 and 6313 is associative
LCM of 6313 and 6321 = LCM of 6321 and 6313
Related Least Common Multiples of 6313
Related Least Common Multiples of 6321
Frequently Asked Questions on LCM of 6313 and 6321
1. What is the LCM of 6313 and 6321?
Answer: LCM of 6313 and 6321 is 39904473.
2. What are the Factors of 6313?
Answer: Factors of 6313 are 1, 59, 107, 6313. There are 4 integers that are factors of 6313. The greatest factor of 6313 is 6313.
3. What are the Factors of 6321?
Answer: Factors of 6321 are 1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321. There are 12 integers that are factors of 6321. The greatest factor of 6321 is 6321.
4. How to Find the LCM of 6313 and 6321?
Answer:
Least Common Multiple of 6313 and 6321 = 39904473
Step 1: Find the prime factorization of 6313
6313 = 59 x 107
Step 2: Find the prime factorization of 6321
6321 = 3 x 7 x 7 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39904473 = 3 x 7 x 7 x 43 x 59 x 107
Step 4: Therefore, the least common multiple of 6313 and 6321 is 39904473.