Least Common Multiple of 4505 and 4510
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4505 and 4510 the smallest integer that is 4063510 that is divisible by both numbers.
Least Common Multiple (LCM) of 4505 and 4510 is 4063510.
LCM(4505,4510) = 4063510
LCM of 4505 and 4510
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4505 and 4510 by Prime method
- Least Common Multiple of 4505 and 4510 with GCF Formula
LCM of 4505 and 4510 is 4063510
Least common multiple can be found by multiplying the highest exponent prime factors of 4505 and 4510. First we will calculate the prime factors of 4505 and 4510.
Prime Factorization of 4505
| 5 | 4505 |
| 17 | 901 |
| 53 | 53 |
| 1 |
Prime factors of 4505 are 5, 17,53. Prime factorization of 4505 in exponential form is:
4505 = 51×171×531
Prime Factorization of 4510
| 2 | 4510 |
| 5 | 2255 |
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 4510 are 2, 5, 11,41. Prime factorization of 4510 in exponential form is:
4510 = 21×51×111×411
Now multiplying the highest exponent prime factors to calculate the LCM of 4505 and 4510.
LCM(4505,4510) = 21×51×111×171×411×531
LCM(4505,4510) = 4063510
Factors of 4505
List of positive integer factors of 4505 that divides 4505 without a remainder.
1, 5, 17, 53, 85, 265, 901, 4505
Factors of 4510
List of positive integer factors of 4510 that divides 4510 without a remainder.
1, 2, 5, 10, 11, 22, 41, 55, 82, 110, 205, 410, 451, 902, 2255, 4510
Least Common Multiple of 4505 and 4510 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4505 and 4510, than apply into the LCM equation.
GCF(4505,4510) = 5
LCM(4505,4510) = ( 4505 × 4510) / 5
LCM(4505,4510) = 20317550 / 5
LCM(4505,4510) = 4063510
Properties of LCM 4505 and 4510
(i) The LCM of 4510 and 4505 is associative
LCM of 4505 and 4510 = LCM of 4510 and 4505
Related Least Common Multiples of 4505
Related Least Common Multiples of 4510
Frequently Asked Questions on LCM of 4505 and 4510
1. What is the LCM of 4505 and 4510?
Answer: LCM of 4505 and 4510 is 4063510.
2. What are the Factors of 4505?
Answer: Factors of 4505 are 1, 5, 17, 53, 85, 265, 901, 4505. There are 8 integers that are factors of 4505. The greatest factor of 4505 is 4505.
3. What are the Factors of 4510?
Answer: Factors of 4510 are 1, 2, 5, 10, 11, 22, 41, 55, 82, 110, 205, 410, 451, 902, 2255, 4510. There are 16 integers that are factors of 4510. The greatest factor of 4510 is 4510.
4. How to Find the LCM of 4505 and 4510?
Answer:
Least Common Multiple of 4505 and 4510 = 4063510
Step 1: Find the prime factorization of 4505
4505 = 5 x 17 x 53
Step 2: Find the prime factorization of 4510
4510 = 2 x 5 x 11 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4063510 = 2 x 5 x 11 x 17 x 41 x 53
Step 4: Therefore, the least common multiple of 4505 and 4510 is 4063510.