Least Common Multiple of 6539 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 6539 and 6545 the smallest integer that is 42797755 that is divisible by both numbers.
Least Common Multiple (LCM) of 6539 and 6545 is 42797755.
LCM(6539,6545) = 42797755
LCM of 6539 and 6545
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6539 and 6545 by Prime method
- Least Common Multiple of 6539 and 6545 with GCF Formula
LCM of 6539 and 6545 is 42797755
Least common multiple can be found by multiplying the highest exponent prime factors of 6539 and 6545. First we will calculate the prime factors of 6539 and 6545.
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
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 6539 and 6545.
LCM(6539,6545) = 51×71×111×131×171×5031
LCM(6539,6545) = 42797755
Factors of 6539
List of positive integer factors of 6539 that divides 6539 without a remainder.
1, 13, 503, 6539
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 6539 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 6539 and 6545, than apply into the LCM equation.
GCF(6539,6545) = 1
LCM(6539,6545) = ( 6539 × 6545) / 1
LCM(6539,6545) = 42797755 / 1
LCM(6539,6545) = 42797755
Properties of LCM 6539 and 6545
(i) The LCM of 6545 and 6539 is associative
LCM of 6539 and 6545 = LCM of 6545 and 6539
Related Least Common Multiples of 6539
Related Least Common Multiples of 6545
Frequently Asked Questions on LCM of 6539 and 6545
1. What is the LCM of 6539 and 6545?
Answer: LCM of 6539 and 6545 is 42797755.
2. 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.
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 6539 and 6545?
Answer:
Least Common Multiple of 6539 and 6545 = 42797755
Step 1: Find the prime factorization of 6539
6539 = 13 x 503
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 = 42797755 = 5 x 7 x 11 x 13 x 17 x 503
Step 4: Therefore, the least common multiple of 6539 and 6545 is 42797755.