Least Common Multiple of 6541 and 6545
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6541 and 6545 the smallest integer that is 42810845 that is divisible by both numbers.
Least Common Multiple (LCM) of 6541 and 6545 is 42810845.
LCM(6541,6545) = 42810845
LCM of 6541 and 6545
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6541 and 6545 by Prime method
- Least Common Multiple of 6541 and 6545 with GCF Formula
LCM of 6541 and 6545 is 42810845
Least common multiple can be found by multiplying the highest exponent prime factors of 6541 and 6545. First we will calculate the prime factors of 6541 and 6545.
Prime Factorization of 6541
| 31 | 6541 |
| 211 | 211 |
| 1 |
Prime factors of 6541 are 31,211. Prime factorization of 6541 in exponential form is:
6541 = 311×2111
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6541 and 6545.
LCM(6541,6545) = 51×71×111×171×311×2111
LCM(6541,6545) = 42810845
Factors of 6541
List of positive integer factors of 6541 that divides 6541 without a remainder.
1, 31, 211, 6541
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
Least Common Multiple of 6541 and 6545 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6541 and 6545, than apply into the LCM equation.
GCF(6541,6545) = 1
LCM(6541,6545) = ( 6541 × 6545) / 1
LCM(6541,6545) = 42810845 / 1
LCM(6541,6545) = 42810845
Properties of LCM 6541 and 6545
(i) The LCM of 6545 and 6541 is associative
LCM of 6541 and 6545 = LCM of 6545 and 6541
Related Least Common Multiples of 6541
Related Least Common Multiples of 6545
Frequently Asked Questions on LCM of 6541 and 6545
1. What is the LCM of 6541 and 6545?
Answer: LCM of 6541 and 6545 is 42810845.
2. What are the Factors of 6541?
Answer: Factors of 6541 are 1, 31, 211, 6541. There are 4 integers that are factors of 6541. The greatest factor of 6541 is 6541.
3. 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.
4. How to Find the LCM of 6541 and 6545?
Answer:
Least Common Multiple of 6541 and 6545 = 42810845
Step 1: Find the prime factorization of 6541
6541 = 31 x 211
Step 2: Find the prime factorization of 6545
6545 = 5 x 7 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42810845 = 5 x 7 x 11 x 17 x 31 x 211
Step 4: Therefore, the least common multiple of 6541 and 6545 is 42810845.