Least Common Multiple of 4503 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 4503 and 4510 the smallest integer that is 20308530 that is divisible by both numbers.
Least Common Multiple (LCM) of 4503 and 4510 is 20308530.
LCM(4503,4510) = 20308530
LCM of 4503 and 4510
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4503 and 4510 by Prime method
- Least Common Multiple of 4503 and 4510 with GCF Formula
LCM of 4503 and 4510 is 20308530
Least common multiple can be found by multiplying the highest exponent prime factors of 4503 and 4510. First we will calculate the prime factors of 4503 and 4510.
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 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 4503 and 4510.
LCM(4503,4510) = 21×31×51×111×191×411×791
LCM(4503,4510) = 20308530
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 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 4503 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 4503 and 4510, than apply into the LCM equation.
GCF(4503,4510) = 1
LCM(4503,4510) = ( 4503 × 4510) / 1
LCM(4503,4510) = 20308530 / 1
LCM(4503,4510) = 20308530
Properties of LCM 4503 and 4510
(i) The LCM of 4510 and 4503 is associative
LCM of 4503 and 4510 = LCM of 4510 and 4503
Related Least Common Multiples of 4503
Related Least Common Multiples of 4510
Frequently Asked Questions on LCM of 4503 and 4510
1. What is the LCM of 4503 and 4510?
Answer: LCM of 4503 and 4510 is 20308530.
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 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 4503 and 4510?
Answer:
Least Common Multiple of 4503 and 4510 = 20308530
Step 1: Find the prime factorization of 4503
4503 = 3 x 19 x 79
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 = 20308530 = 2 x 3 x 5 x 11 x 19 x 41 x 79
Step 4: Therefore, the least common multiple of 4503 and 4510 is 20308530.