Least Common Multiple of 6527 and 6531
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6527 and 6531 the smallest integer that is 42627837 that is divisible by both numbers.
Least Common Multiple (LCM) of 6527 and 6531 is 42627837.
LCM(6527,6531) = 42627837
LCM of 6527 and 6531
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6527 and 6531 by Prime method
- Least Common Multiple of 6527 and 6531 with GCF Formula
LCM of 6527 and 6531 is 42627837
Least common multiple can be found by multiplying the highest exponent prime factors of 6527 and 6531. First we will calculate the prime factors of 6527 and 6531.
Prime Factorization of 6527
| 61 | 6527 |
| 107 | 107 |
| 1 |
Prime factors of 6527 are 61,107. Prime factorization of 6527 in exponential form is:
6527 = 611×1071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6527 and 6531.
LCM(6527,6531) = 31×71×611×1071×3111
LCM(6527,6531) = 42627837
Factors of 6527
List of positive integer factors of 6527 that divides 6527 without a remainder.
1, 61, 107, 6527
Factors of 6531
List of positive integer factors of 6531 that divides 6531 without a remainder.
1, 3, 7, 21, 311, 933, 2177, 6531
Least Common Multiple of 6527 and 6531 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6527 and 6531, than apply into the LCM equation.
GCF(6527,6531) = 1
LCM(6527,6531) = ( 6527 × 6531) / 1
LCM(6527,6531) = 42627837 / 1
LCM(6527,6531) = 42627837
Properties of LCM 6527 and 6531
(i) The LCM of 6531 and 6527 is associative
LCM of 6527 and 6531 = LCM of 6531 and 6527
Related Least Common Multiples of 6527
Related Least Common Multiples of 6531
Frequently Asked Questions on LCM of 6527 and 6531
1. What is the LCM of 6527 and 6531?
Answer: LCM of 6527 and 6531 is 42627837.
2. What are the Factors of 6527?
Answer: Factors of 6527 are 1, 61, 107, 6527. There are 4 integers that are factors of 6527. The greatest factor of 6527 is 6527.
3. 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.
4. How to Find the LCM of 6527 and 6531?
Answer:
Least Common Multiple of 6527 and 6531 = 42627837
Step 1: Find the prime factorization of 6527
6527 = 61 x 107
Step 2: Find the prime factorization of 6531
6531 = 3 x 7 x 311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42627837 = 3 x 7 x 61 x 107 x 311
Step 4: Therefore, the least common multiple of 6527 and 6531 is 42627837.