Least Common Multiple of 6527 and 6533
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 6533 the smallest integer that is 42640891 that is divisible by both numbers.
Least Common Multiple (LCM) of 6527 and 6533 is 42640891.
LCM(6527,6533) = 42640891
LCM of 6527 and 6533
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6527 and 6533 by Prime method
- Least Common Multiple of 6527 and 6533 with GCF Formula
LCM of 6527 and 6533 is 42640891
Least common multiple can be found by multiplying the highest exponent prime factors of 6527 and 6533. First we will calculate the prime factors of 6527 and 6533.
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 6533
| 47 | 6533 |
| 139 | 139 |
| 1 |
Prime factors of 6533 are 47,139. Prime factorization of 6533 in exponential form is:
6533 = 471×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 6527 and 6533.
LCM(6527,6533) = 471×611×1071×1391
LCM(6527,6533) = 42640891
Factors of 6527
List of positive integer factors of 6527 that divides 6527 without a remainder.
1, 61, 107, 6527
Factors of 6533
List of positive integer factors of 6533 that divides 6533 without a remainder.
1, 47, 139, 6533
Least Common Multiple of 6527 and 6533 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 6533, than apply into the LCM equation.
GCF(6527,6533) = 1
LCM(6527,6533) = ( 6527 × 6533) / 1
LCM(6527,6533) = 42640891 / 1
LCM(6527,6533) = 42640891
Properties of LCM 6527 and 6533
(i) The LCM of 6533 and 6527 is associative
LCM of 6527 and 6533 = LCM of 6533 and 6527
Related Least Common Multiples of 6527
Related Least Common Multiples of 6533
Frequently Asked Questions on LCM of 6527 and 6533
1. What is the LCM of 6527 and 6533?
Answer: LCM of 6527 and 6533 is 42640891.
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 6533?
Answer: Factors of 6533 are 1, 47, 139, 6533. There are 4 integers that are factors of 6533. The greatest factor of 6533 is 6533.
4. How to Find the LCM of 6527 and 6533?
Answer:
Least Common Multiple of 6527 and 6533 = 42640891
Step 1: Find the prime factorization of 6527
6527 = 61 x 107
Step 2: Find the prime factorization of 6533
6533 = 47 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42640891 = 47 x 61 x 107 x 139
Step 4: Therefore, the least common multiple of 6527 and 6533 is 42640891.