Least Common Multiple of 6539 and 6541
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 6541 the smallest integer that is 42771599 that is divisible by both numbers.
Least Common Multiple (LCM) of 6539 and 6541 is 42771599.
LCM(6539,6541) = 42771599
LCM of 6539 and 6541
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6539 and 6541 by Prime method
- Least Common Multiple of 6539 and 6541 with GCF Formula
LCM of 6539 and 6541 is 42771599
Least common multiple can be found by multiplying the highest exponent prime factors of 6539 and 6541. First we will calculate the prime factors of 6539 and 6541.
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 6541
| 31 | 6541 |
| 211 | 211 |
| 1 |
Prime factors of 6541 are 31,211. Prime factorization of 6541 in exponential form is:
6541 = 311×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 6539 and 6541.
LCM(6539,6541) = 131×311×2111×5031
LCM(6539,6541) = 42771599
Factors of 6539
List of positive integer factors of 6539 that divides 6539 without a remainder.
1, 13, 503, 6539
Factors of 6541
List of positive integer factors of 6541 that divides 6541 without a remainder.
1, 31, 211, 6541
Least Common Multiple of 6539 and 6541 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 6541, than apply into the LCM equation.
GCF(6539,6541) = 1
LCM(6539,6541) = ( 6539 × 6541) / 1
LCM(6539,6541) = 42771599 / 1
LCM(6539,6541) = 42771599
Properties of LCM 6539 and 6541
(i) The LCM of 6541 and 6539 is associative
LCM of 6539 and 6541 = LCM of 6541 and 6539
Related Least Common Multiples of 6539
Related Least Common Multiples of 6541
Frequently Asked Questions on LCM of 6539 and 6541
1. What is the LCM of 6539 and 6541?
Answer: LCM of 6539 and 6541 is 42771599.
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 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.
4. How to Find the LCM of 6539 and 6541?
Answer:
Least Common Multiple of 6539 and 6541 = 42771599
Step 1: Find the prime factorization of 6539
6539 = 13 x 503
Step 2: Find the prime factorization of 6541
6541 = 31 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42771599 = 13 x 31 x 211 x 503
Step 4: Therefore, the least common multiple of 6539 and 6541 is 42771599.
