Least Common Multiple of 6509 and 6510
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6509 and 6510 the smallest integer that is 42373590 that is divisible by both numbers.
Least Common Multiple (LCM) of 6509 and 6510 is 42373590.
LCM(6509,6510) = 42373590
LCM of 6509 and 6510
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6509 and 6510 by Prime method
- Least Common Multiple of 6509 and 6510 with GCF Formula
LCM of 6509 and 6510 is 42373590
Least common multiple can be found by multiplying the highest exponent prime factors of 6509 and 6510. First we will calculate the prime factors of 6509 and 6510.
Prime Factorization of 6509
| 23 | 6509 |
| 283 | 283 |
| 1 |
Prime factors of 6509 are 23,283. Prime factorization of 6509 in exponential form is:
6509 = 231×2831
Prime Factorization of 6510
| 2 | 6510 |
| 3 | 3255 |
| 5 | 1085 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 6510 are 2, 3, 5, 7,31. Prime factorization of 6510 in exponential form is:
6510 = 21×31×51×71×311
Now multiplying the highest exponent prime factors to calculate the LCM of 6509 and 6510.
LCM(6509,6510) = 21×31×51×71×231×311×2831
LCM(6509,6510) = 42373590
Factors of 6509
List of positive integer factors of 6509 that divides 6509 without a remainder.
1, 23, 283, 6509
Factors of 6510
List of positive integer factors of 6510 that divides 6510 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510
Least Common Multiple of 6509 and 6510 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6509 and 6510, than apply into the LCM equation.
GCF(6509,6510) = 1
LCM(6509,6510) = ( 6509 × 6510) / 1
LCM(6509,6510) = 42373590 / 1
LCM(6509,6510) = 42373590
Properties of LCM 6509 and 6510
(i) The LCM of 6510 and 6509 is associative
LCM of 6509 and 6510 = LCM of 6510 and 6509
Related Least Common Multiples of 6509
Related Least Common Multiples of 6510
Frequently Asked Questions on LCM of 6509 and 6510
1. What is the LCM of 6509 and 6510?
Answer: LCM of 6509 and 6510 is 42373590.
2. What are the Factors of 6509?
Answer: Factors of 6509 are 1, 23, 283, 6509. There are 4 integers that are factors of 6509. The greatest factor of 6509 is 6509.
3. What are the Factors of 6510?
Answer: Factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510. There are 32 integers that are factors of 6510. The greatest factor of 6510 is 6510.
4. How to Find the LCM of 6509 and 6510?
Answer:
Least Common Multiple of 6509 and 6510 = 42373590
Step 1: Find the prime factorization of 6509
6509 = 23 x 283
Step 2: Find the prime factorization of 6510
6510 = 2 x 3 x 5 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42373590 = 2 x 3 x 5 x 7 x 23 x 31 x 283
Step 4: Therefore, the least common multiple of 6509 and 6510 is 42373590.