Least Common Multiple of 6279 and 6281
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6279 and 6281 the smallest integer that is 39438399 that is divisible by both numbers.
Least Common Multiple (LCM) of 6279 and 6281 is 39438399.
LCM(6279,6281) = 39438399
LCM of 6279 and 6281
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6279 and 6281 by Prime method
- Least Common Multiple of 6279 and 6281 with GCF Formula
LCM of 6279 and 6281 is 39438399
Least common multiple can be found by multiplying the highest exponent prime factors of 6279 and 6281. First we will calculate the prime factors of 6279 and 6281.
Prime Factorization of 6279
| 3 | 6279 |
| 7 | 2093 |
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 6279 are 3, 7, 13,23. Prime factorization of 6279 in exponential form is:
6279 = 31×71×131×231
Prime Factorization of 6281
| 11 | 6281 |
| 571 | 571 |
| 1 |
Prime factors of 6281 are 11,571. Prime factorization of 6281 in exponential form is:
6281 = 111×5711
Now multiplying the highest exponent prime factors to calculate the LCM of 6279 and 6281.
LCM(6279,6281) = 31×71×111×131×231×5711
LCM(6279,6281) = 39438399
Factors of 6279
List of positive integer factors of 6279 that divides 6279 without a remainder.
1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093, 6279
Factors of 6281
List of positive integer factors of 6281 that divides 6281 without a remainder.
1, 11, 571, 6281
Least Common Multiple of 6279 and 6281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6279 and 6281, than apply into the LCM equation.
GCF(6279,6281) = 1
LCM(6279,6281) = ( 6279 × 6281) / 1
LCM(6279,6281) = 39438399 / 1
LCM(6279,6281) = 39438399
Properties of LCM 6279 and 6281
(i) The LCM of 6281 and 6279 is associative
LCM of 6279 and 6281 = LCM of 6281 and 6279
Related Least Common Multiples of 6279
Related Least Common Multiples of 6281
Frequently Asked Questions on LCM of 6279 and 6281
1. What is the LCM of 6279 and 6281?
Answer: LCM of 6279 and 6281 is 39438399.
2. What are the Factors of 6279?
Answer: Factors of 6279 are 1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093, 6279. There are 16 integers that are factors of 6279. The greatest factor of 6279 is 6279.
3. What are the Factors of 6281?
Answer: Factors of 6281 are 1, 11, 571, 6281. There are 4 integers that are factors of 6281. The greatest factor of 6281 is 6281.
4. How to Find the LCM of 6279 and 6281?
Answer:
Least Common Multiple of 6279 and 6281 = 39438399
Step 1: Find the prime factorization of 6279
6279 = 3 x 7 x 13 x 23
Step 2: Find the prime factorization of 6281
6281 = 11 x 571
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39438399 = 3 x 7 x 11 x 13 x 23 x 571
Step 4: Therefore, the least common multiple of 6279 and 6281 is 39438399.