Least Common Multiple of 4511 and 4514
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4511 and 4514 the smallest integer that is 20362654 that is divisible by both numbers.
Least Common Multiple (LCM) of 4511 and 4514 is 20362654.
LCM(4511,4514) = 20362654
LCM of 4511 and 4514
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4511 and 4514 by Prime method
- Least Common Multiple of 4511 and 4514 with GCF Formula
LCM of 4511 and 4514 is 20362654
Least common multiple can be found by multiplying the highest exponent prime factors of 4511 and 4514. First we will calculate the prime factors of 4511 and 4514.
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
Prime Factorization of 4514
| 2 | 4514 |
| 37 | 2257 |
| 61 | 61 |
| 1 |
Prime factors of 4514 are 2, 37,61. Prime factorization of 4514 in exponential form is:
4514 = 21×371×611
Now multiplying the highest exponent prime factors to calculate the LCM of 4511 and 4514.
LCM(4511,4514) = 21×131×371×611×3471
LCM(4511,4514) = 20362654
Factors of 4511
List of positive integer factors of 4511 that divides 4511 without a remainder.
1, 13, 347, 4511
Factors of 4514
List of positive integer factors of 4514 that divides 4514 without a remainder.
1, 2, 37, 61, 74, 122, 2257, 4514
Least Common Multiple of 4511 and 4514 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4511 and 4514, than apply into the LCM equation.
GCF(4511,4514) = 1
LCM(4511,4514) = ( 4511 × 4514) / 1
LCM(4511,4514) = 20362654 / 1
LCM(4511,4514) = 20362654
Properties of LCM 4511 and 4514
(i) The LCM of 4514 and 4511 is associative
LCM of 4511 and 4514 = LCM of 4514 and 4511
Related Least Common Multiples of 4511
Related Least Common Multiples of 4514
Frequently Asked Questions on LCM of 4511 and 4514
1. What is the LCM of 4511 and 4514?
Answer: LCM of 4511 and 4514 is 20362654.
2. 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.
3. What are the Factors of 4514?
Answer: Factors of 4514 are 1, 2, 37, 61, 74, 122, 2257, 4514. There are 8 integers that are factors of 4514. The greatest factor of 4514 is 4514.
4. How to Find the LCM of 4511 and 4514?
Answer:
Least Common Multiple of 4511 and 4514 = 20362654
Step 1: Find the prime factorization of 4511
4511 = 13 x 347
Step 2: Find the prime factorization of 4514
4514 = 2 x 37 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20362654 = 2 x 13 x 37 x 61 x 347
Step 4: Therefore, the least common multiple of 4511 and 4514 is 20362654.