Least Common Multiple of 6527 and 6535
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 6535 the smallest integer that is 42653945 that is divisible by both numbers.
Least Common Multiple (LCM) of 6527 and 6535 is 42653945.
LCM(6527,6535) = 42653945
LCM of 6527 and 6535
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6527 and 6535 by Prime method
- Least Common Multiple of 6527 and 6535 with GCF Formula
LCM of 6527 and 6535 is 42653945
Least common multiple can be found by multiplying the highest exponent prime factors of 6527 and 6535. First we will calculate the prime factors of 6527 and 6535.
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 6535
| 5 | 6535 |
| 1307 | 1307 |
| 1 |
Prime factors of 6535 are 5,1307. Prime factorization of 6535 in exponential form is:
6535 = 51×13071
Now multiplying the highest exponent prime factors to calculate the LCM of 6527 and 6535.
LCM(6527,6535) = 51×611×1071×13071
LCM(6527,6535) = 42653945
Factors of 6527
List of positive integer factors of 6527 that divides 6527 without a remainder.
1, 61, 107, 6527
Factors of 6535
List of positive integer factors of 6535 that divides 6535 without a remainder.
1, 5, 1307, 6535
Least Common Multiple of 6527 and 6535 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 6535, than apply into the LCM equation.
GCF(6527,6535) = 1
LCM(6527,6535) = ( 6527 × 6535) / 1
LCM(6527,6535) = 42653945 / 1
LCM(6527,6535) = 42653945
Properties of LCM 6527 and 6535
(i) The LCM of 6535 and 6527 is associative
LCM of 6527 and 6535 = LCM of 6535 and 6527
Related Least Common Multiples of 6527
Related Least Common Multiples of 6535
Frequently Asked Questions on LCM of 6527 and 6535
1. What is the LCM of 6527 and 6535?
Answer: LCM of 6527 and 6535 is 42653945.
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 6535?
Answer: Factors of 6535 are 1, 5, 1307, 6535. There are 4 integers that are factors of 6535. The greatest factor of 6535 is 6535.
4. How to Find the LCM of 6527 and 6535?
Answer:
Least Common Multiple of 6527 and 6535 = 42653945
Step 1: Find the prime factorization of 6527
6527 = 61 x 107
Step 2: Find the prime factorization of 6535
6535 = 5 x 1307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42653945 = 5 x 61 x 107 x 1307
Step 4: Therefore, the least common multiple of 6527 and 6535 is 42653945.