Least Common Multiple of 4503 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 4503 and 4511 the smallest integer that is 20313033 that is divisible by both numbers.
Least Common Multiple (LCM) of 4503 and 4511 is 20313033.
LCM(4503,4511) = 20313033
LCM of 4503 and 4511
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4503 and 4511 by Prime method
- Least Common Multiple of 4503 and 4511 with GCF Formula
LCM of 4503 and 4511 is 20313033
Least common multiple can be found by multiplying the highest exponent prime factors of 4503 and 4511. First we will calculate the prime factors of 4503 and 4511.
Prime Factorization of 4503
| 3 | 4503 |
| 19 | 1501 |
| 79 | 79 |
| 1 |
Prime factors of 4503 are 3, 19,79. Prime factorization of 4503 in exponential form is:
4503 = 31×191×791
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 4503 and 4511.
LCM(4503,4511) = 31×131×191×791×3471
LCM(4503,4511) = 20313033
Factors of 4503
List of positive integer factors of 4503 that divides 4503 without a remainder.
1, 3, 19, 57, 79, 237, 1501, 4503
Factors of 4511
List of positive integer factors of 4511 that divides 4511 without a remainder.
1, 13, 347, 4511
Least Common Multiple of 4503 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 4503 and 4511, than apply into the LCM equation.
GCF(4503,4511) = 1
LCM(4503,4511) = ( 4503 × 4511) / 1
LCM(4503,4511) = 20313033 / 1
LCM(4503,4511) = 20313033
Properties of LCM 4503 and 4511
(i) The LCM of 4511 and 4503 is associative
LCM of 4503 and 4511 = LCM of 4511 and 4503
Related Least Common Multiples of 4503
Related Least Common Multiples of 4511
Frequently Asked Questions on LCM of 4503 and 4511
1. What is the LCM of 4503 and 4511?
Answer: LCM of 4503 and 4511 is 20313033.
2. What are the Factors of 4503?
Answer: Factors of 4503 are 1, 3, 19, 57, 79, 237, 1501, 4503. There are 8 integers that are factors of 4503. The greatest factor of 4503 is 4503.
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 4503 and 4511?
Answer:
Least Common Multiple of 4503 and 4511 = 20313033
Step 1: Find the prime factorization of 4503
4503 = 3 x 19 x 79
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 = 20313033 = 3 x 13 x 19 x 79 x 347
Step 4: Therefore, the least common multiple of 4503 and 4511 is 20313033.