Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6545 and 6547 the smallest integer that is 42850115 that is divisible by both numbers.
Least Common Multiple (LCM) of 6545 and 6547 is 42850115.
LCM(6545,6547) = 42850115
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6545 and 6547. First we will calculate the prime factors of 6545 and 6547.
Prime Factorization of 6545
5 | 6545 |
7 | 1309 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 6545 are 5, 7, 11,17. Prime factorization of 6545 in exponential form is:
6545 = 51×71×111×171
Prime Factorization of 6547
6547 | 6547 |
1 |
Prime factors of 6547 are 6547. Prime factorization of 6547 in exponential form is:
6547 = 65471
Now multiplying the highest exponent prime factors to calculate the LCM of 6545 and 6547.
LCM(6545,6547) = 51×71×111×171×65471
LCM(6545,6547) = 42850115
Factors of 6545
List of positive integer factors of 6545 that divides 6545 without a remainder.
1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309, 6545
Factors of 6547
List of positive integer factors of 6547 that divides 6547 without a remainder.
1, 6547
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6545 and 6547, than apply into the LCM equation.
GCF(6545,6547) = 1
LCM(6545,6547) = ( 6545 × 6547) / 1
LCM(6545,6547) = 42850115 / 1
LCM(6545,6547) = 42850115
(i) The LCM of 6547 and 6545 is associative
LCM of 6545 and 6547 = LCM of 6547 and 6545
1. What is the LCM of 6545 and 6547?
Answer: LCM of 6545 and 6547 is 42850115.
2. What are the Factors of 6545?
Answer: Factors of 6545 are 1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309, 6545. There are 16 integers that are factors of 6545. The greatest factor of 6545 is 6545.
3. What are the Factors of 6547?
Answer: Factors of 6547 are 1, 6547. There are 2 integers that are factors of 6547. The greatest factor of 6547 is 6547.
4. How to Find the LCM of 6545 and 6547?
Answer:
Least Common Multiple of 6545 and 6547 = 42850115
Step 1: Find the prime factorization of 6545
6545 = 5 x 7 x 11 x 17
Step 2: Find the prime factorization of 6547
6547 = 6547
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42850115 = 5 x 7 x 11 x 17 x 6547
Step 4: Therefore, the least common multiple of 6545 and 6547 is 42850115.