Least Common Multiple of 6515 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 6515 and 6523 the smallest integer that is 42497345 that is divisible by both numbers.
Least Common Multiple (LCM) of 6515 and 6523 is 42497345.
LCM(6515,6523) = 42497345
LCM of 6515 and 6523
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6515 and 6523 by Prime method
- Least Common Multiple of 6515 and 6523 with GCF Formula
LCM of 6515 and 6523 is 42497345
Least common multiple can be found by multiplying the highest exponent prime factors of 6515 and 6523. First we will calculate the prime factors of 6515 and 6523.
Prime Factorization of 6515
| 5 | 6515 |
| 1303 | 1303 |
| 1 |
Prime factors of 6515 are 5,1303. Prime factorization of 6515 in exponential form is:
6515 = 51×13031
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 6515 and 6523.
LCM(6515,6523) = 51×111×5931×13031
LCM(6515,6523) = 42497345
Factors of 6515
List of positive integer factors of 6515 that divides 6515 without a remainder.
1, 5, 1303, 6515
Factors of 6523
List of positive integer factors of 6523 that divides 6523 without a remainder.
1, 11, 593, 6523
Least Common Multiple of 6515 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 6515 and 6523, than apply into the LCM equation.
GCF(6515,6523) = 1
LCM(6515,6523) = ( 6515 × 6523) / 1
LCM(6515,6523) = 42497345 / 1
LCM(6515,6523) = 42497345
Properties of LCM 6515 and 6523
(i) The LCM of 6523 and 6515 is associative
LCM of 6515 and 6523 = LCM of 6523 and 6515
Related Least Common Multiples of 6515
Related Least Common Multiples of 6523
Frequently Asked Questions on LCM of 6515 and 6523
1. What is the LCM of 6515 and 6523?
Answer: LCM of 6515 and 6523 is 42497345.
2. What are the Factors of 6515?
Answer: Factors of 6515 are 1, 5, 1303, 6515. There are 4 integers that are factors of 6515. The greatest factor of 6515 is 6515.
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 6515 and 6523?
Answer:
Least Common Multiple of 6515 and 6523 = 42497345
Step 1: Find the prime factorization of 6515
6515 = 5 x 1303
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 = 42497345 = 5 x 11 x 593 x 1303
Step 4: Therefore, the least common multiple of 6515 and 6523 is 42497345.