Least Common Multiple of 4505 and 4511
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 4511 the smallest integer that is 20322055 that is divisible by both numbers.
Least Common Multiple (LCM) of 4505 and 4511 is 20322055.
LCM(4505,4511) = 20322055
LCM of 4505 and 4511
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4505 and 4511 by Prime method
- Least Common Multiple of 4505 and 4511 with GCF Formula
LCM of 4505 and 4511 is 20322055
Least common multiple can be found by multiplying the highest exponent prime factors of 4505 and 4511. First we will calculate the prime factors of 4505 and 4511.
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 4511
| 13 | 4511 |
| 347 | 347 |
| 1 |
Prime factors of 4511 are 13,347. Prime factorization of 4511 in exponential form is:
4511 = 131×3471
Now multiplying the highest exponent prime factors to calculate the LCM of 4505 and 4511.
LCM(4505,4511) = 51×131×171×531×3471
LCM(4505,4511) = 20322055
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 4511
List of positive integer factors of 4511 that divides 4511 without a remainder.
1, 13, 347, 4511
Least Common Multiple of 4505 and 4511 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 4511, than apply into the LCM equation.
GCF(4505,4511) = 1
LCM(4505,4511) = ( 4505 × 4511) / 1
LCM(4505,4511) = 20322055 / 1
LCM(4505,4511) = 20322055
Properties of LCM 4505 and 4511
(i) The LCM of 4511 and 4505 is associative
LCM of 4505 and 4511 = LCM of 4511 and 4505
Related Least Common Multiples of 4505
Related Least Common Multiples of 4511
Frequently Asked Questions on LCM of 4505 and 4511
1. What is the LCM of 4505 and 4511?
Answer: LCM of 4505 and 4511 is 20322055.
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 4511?
Answer: Factors of 4511 are 1, 13, 347, 4511. There are 4 integers that are factors of 4511. The greatest factor of 4511 is 4511.
4. How to Find the LCM of 4505 and 4511?
Answer:
Least Common Multiple of 4505 and 4511 = 20322055
Step 1: Find the prime factorization of 4505
4505 = 5 x 17 x 53
Step 2: Find the prime factorization of 4511
4511 = 13 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20322055 = 5 x 13 x 17 x 53 x 347
Step 4: Therefore, the least common multiple of 4505 and 4511 is 20322055.