Least Common Multiple of 6531 and 6538
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6531 and 6538 the smallest integer that is 6099954 that is divisible by both numbers.
Least Common Multiple (LCM) of 6531 and 6538 is 6099954.
LCM(6531,6538) = 6099954
LCM of 6531 and 6538
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6531 and 6538 by Prime method
- Least Common Multiple of 6531 and 6538 with GCF Formula
LCM of 6531 and 6538 is 6099954
Least common multiple can be found by multiplying the highest exponent prime factors of 6531 and 6538. First we will calculate the prime factors of 6531 and 6538.
Prime Factorization of 6531
| 3 | 6531 |
| 7 | 2177 |
| 311 | 311 |
| 1 |
Prime factors of 6531 are 3, 7,311. Prime factorization of 6531 in exponential form is:
6531 = 31×71×3111
Prime Factorization of 6538
| 2 | 6538 |
| 7 | 3269 |
| 467 | 467 |
| 1 |
Prime factors of 6538 are 2, 7,467. Prime factorization of 6538 in exponential form is:
6538 = 21×71×4671
Now multiplying the highest exponent prime factors to calculate the LCM of 6531 and 6538.
LCM(6531,6538) = 21×31×71×3111×4671
LCM(6531,6538) = 6099954
Factors of 6531
List of positive integer factors of 6531 that divides 6531 without a remainder.
1, 3, 7, 21, 311, 933, 2177, 6531
Factors of 6538
List of positive integer factors of 6538 that divides 6538 without a remainder.
1, 2, 7, 14, 467, 934, 3269, 6538
Least Common Multiple of 6531 and 6538 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6531 and 6538, than apply into the LCM equation.
GCF(6531,6538) = 7
LCM(6531,6538) = ( 6531 × 6538) / 7
LCM(6531,6538) = 42699678 / 7
LCM(6531,6538) = 6099954
Properties of LCM 6531 and 6538
(i) The LCM of 6538 and 6531 is associative
LCM of 6531 and 6538 = LCM of 6538 and 6531
Related Least Common Multiples of 6531
Related Least Common Multiples of 6538
Frequently Asked Questions on LCM of 6531 and 6538
1. What is the LCM of 6531 and 6538?
Answer: LCM of 6531 and 6538 is 6099954.
2. What are the Factors of 6531?
Answer: Factors of 6531 are 1, 3, 7, 21, 311, 933, 2177, 6531. There are 8 integers that are factors of 6531. The greatest factor of 6531 is 6531.
3. What are the Factors of 6538?
Answer: Factors of 6538 are 1, 2, 7, 14, 467, 934, 3269, 6538. There are 8 integers that are factors of 6538. The greatest factor of 6538 is 6538.
4. How to Find the LCM of 6531 and 6538?
Answer:
Least Common Multiple of 6531 and 6538 = 6099954
Step 1: Find the prime factorization of 6531
6531 = 3 x 7 x 311
Step 2: Find the prime factorization of 6538
6538 = 2 x 7 x 467
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6099954 = 2 x 3 x 7 x 311 x 467
Step 4: Therefore, the least common multiple of 6531 and 6538 is 6099954.