Least Common Multiple of 6519 and 6523
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6519 and 6523 the smallest integer that is 42523437 that is divisible by both numbers.
Least Common Multiple (LCM) of 6519 and 6523 is 42523437.
LCM(6519,6523) = 42523437
LCM of 6519 and 6523
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6519 and 6523 by Prime method
- Least Common Multiple of 6519 and 6523 with GCF Formula
LCM of 6519 and 6523 is 42523437
Least common multiple can be found by multiplying the highest exponent prime factors of 6519 and 6523. First we will calculate the prime factors of 6519 and 6523.
Prime Factorization of 6519
| 3 | 6519 |
| 41 | 2173 |
| 53 | 53 |
| 1 |
Prime factors of 6519 are 3, 41,53. Prime factorization of 6519 in exponential form is:
6519 = 31×411×531
Prime Factorization of 6523
| 11 | 6523 |
| 593 | 593 |
| 1 |
Prime factors of 6523 are 11,593. Prime factorization of 6523 in exponential form is:
6523 = 111×5931
Now multiplying the highest exponent prime factors to calculate the LCM of 6519 and 6523.
LCM(6519,6523) = 31×111×411×531×5931
LCM(6519,6523) = 42523437
Factors of 6519
List of positive integer factors of 6519 that divides 6519 without a remainder.
1, 3, 41, 53, 123, 159, 2173, 6519
Factors of 6523
List of positive integer factors of 6523 that divides 6523 without a remainder.
1, 11, 593, 6523
Least Common Multiple of 6519 and 6523 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6519 and 6523, than apply into the LCM equation.
GCF(6519,6523) = 1
LCM(6519,6523) = ( 6519 × 6523) / 1
LCM(6519,6523) = 42523437 / 1
LCM(6519,6523) = 42523437
Properties of LCM 6519 and 6523
(i) The LCM of 6523 and 6519 is associative
LCM of 6519 and 6523 = LCM of 6523 and 6519
Related Least Common Multiples of 6519
Related Least Common Multiples of 6523
Frequently Asked Questions on LCM of 6519 and 6523
1. What is the LCM of 6519 and 6523?
Answer: LCM of 6519 and 6523 is 42523437.
2. What are the Factors of 6519?
Answer: Factors of 6519 are 1, 3, 41, 53, 123, 159, 2173, 6519. There are 8 integers that are factors of 6519. The greatest factor of 6519 is 6519.
3. What are the Factors of 6523?
Answer: Factors of 6523 are 1, 11, 593, 6523. There are 4 integers that are factors of 6523. The greatest factor of 6523 is 6523.
4. How to Find the LCM of 6519 and 6523?
Answer:
Least Common Multiple of 6519 and 6523 = 42523437
Step 1: Find the prime factorization of 6519
6519 = 3 x 41 x 53
Step 2: Find the prime factorization of 6523
6523 = 11 x 593
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42523437 = 3 x 11 x 41 x 53 x 593
Step 4: Therefore, the least common multiple of 6519 and 6523 is 42523437.