Least Common Multiple of 6503 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 6503 and 6510 the smallest integer that is 6047790 that is divisible by both numbers.
Least Common Multiple (LCM) of 6503 and 6510 is 6047790.
LCM(6503,6510) = 6047790
LCM of 6503 and 6510
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6503 and 6510 by Prime method
- Least Common Multiple of 6503 and 6510 with GCF Formula
LCM of 6503 and 6510 is 6047790
Least common multiple can be found by multiplying the highest exponent prime factors of 6503 and 6510. First we will calculate the prime factors of 6503 and 6510.
Prime Factorization of 6503
| 7 | 6503 |
| 929 | 929 |
| 1 |
Prime factors of 6503 are 7,929. Prime factorization of 6503 in exponential form is:
6503 = 71×9291
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 6503 and 6510.
LCM(6503,6510) = 21×31×51×71×311×9291
LCM(6503,6510) = 6047790
Factors of 6503
List of positive integer factors of 6503 that divides 6503 without a remainder.
1, 7, 929, 6503
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 6503 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 6503 and 6510, than apply into the LCM equation.
GCF(6503,6510) = 7
LCM(6503,6510) = ( 6503 × 6510) / 7
LCM(6503,6510) = 42334530 / 7
LCM(6503,6510) = 6047790
Properties of LCM 6503 and 6510
(i) The LCM of 6510 and 6503 is associative
LCM of 6503 and 6510 = LCM of 6510 and 6503
Related Least Common Multiples of 6503
Related Least Common Multiples of 6510
Frequently Asked Questions on LCM of 6503 and 6510
1. What is the LCM of 6503 and 6510?
Answer: LCM of 6503 and 6510 is 6047790.
2. What are the Factors of 6503?
Answer: Factors of 6503 are 1, 7, 929, 6503. There are 4 integers that are factors of 6503. The greatest factor of 6503 is 6503.
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 6503 and 6510?
Answer:
Least Common Multiple of 6503 and 6510 = 6047790
Step 1: Find the prime factorization of 6503
6503 = 7 x 929
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 = 6047790 = 2 x 3 x 5 x 7 x 31 x 929
Step 4: Therefore, the least common multiple of 6503 and 6510 is 6047790.