Least Common Multiple of 6535 and 6539
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6535 and 6539 the smallest integer that is 42732365 that is divisible by both numbers.
Least Common Multiple (LCM) of 6535 and 6539 is 42732365.
LCM(6535,6539) = 42732365
LCM of 6535 and 6539
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6535 and 6539 by Prime method
- Least Common Multiple of 6535 and 6539 with GCF Formula
LCM of 6535 and 6539 is 42732365
Least common multiple can be found by multiplying the highest exponent prime factors of 6535 and 6539. First we will calculate the prime factors of 6535 and 6539.
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
Prime Factorization of 6539
| 13 | 6539 |
| 503 | 503 |
| 1 |
Prime factors of 6539 are 13,503. Prime factorization of 6539 in exponential form is:
6539 = 131×5031
Now multiplying the highest exponent prime factors to calculate the LCM of 6535 and 6539.
LCM(6535,6539) = 51×131×5031×13071
LCM(6535,6539) = 42732365
Factors of 6535
List of positive integer factors of 6535 that divides 6535 without a remainder.
1, 5, 1307, 6535
Factors of 6539
List of positive integer factors of 6539 that divides 6539 without a remainder.
1, 13, 503, 6539
Least Common Multiple of 6535 and 6539 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6535 and 6539, than apply into the LCM equation.
GCF(6535,6539) = 1
LCM(6535,6539) = ( 6535 × 6539) / 1
LCM(6535,6539) = 42732365 / 1
LCM(6535,6539) = 42732365
Properties of LCM 6535 and 6539
(i) The LCM of 6539 and 6535 is associative
LCM of 6535 and 6539 = LCM of 6539 and 6535
Related Least Common Multiples of 6535
Related Least Common Multiples of 6539
Frequently Asked Questions on LCM of 6535 and 6539
1. What is the LCM of 6535 and 6539?
Answer: LCM of 6535 and 6539 is 42732365.
2. 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.
3. What are the Factors of 6539?
Answer: Factors of 6539 are 1, 13, 503, 6539. There are 4 integers that are factors of 6539. The greatest factor of 6539 is 6539.
4. How to Find the LCM of 6535 and 6539?
Answer:
Least Common Multiple of 6535 and 6539 = 42732365
Step 1: Find the prime factorization of 6535
6535 = 5 x 1307
Step 2: Find the prime factorization of 6539
6539 = 13 x 503
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42732365 = 5 x 13 x 503 x 1307
Step 4: Therefore, the least common multiple of 6535 and 6539 is 42732365.