Least Common Multiple of 4510 and 4517
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4510 and 4517 the smallest integer that is 20371670 that is divisible by both numbers.
Least Common Multiple (LCM) of 4510 and 4517 is 20371670.
LCM(4510,4517) = 20371670
LCM of 4510 and 4517
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4510 and 4517 by Prime method
- Least Common Multiple of 4510 and 4517 with GCF Formula
LCM of 4510 and 4517 is 20371670
Least common multiple can be found by multiplying the highest exponent prime factors of 4510 and 4517. First we will calculate the prime factors of 4510 and 4517.
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
Prime Factorization of 4517
| 4517 | 4517 |
| 1 |
Prime factors of 4517 are 4517. Prime factorization of 4517 in exponential form is:
4517 = 45171
Now multiplying the highest exponent prime factors to calculate the LCM of 4510 and 4517.
LCM(4510,4517) = 21×51×111×411×45171
LCM(4510,4517) = 20371670
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
Factors of 4517
List of positive integer factors of 4517 that divides 4517 without a remainder.
1, 4517
Least Common Multiple of 4510 and 4517 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4510 and 4517, than apply into the LCM equation.
GCF(4510,4517) = 1
LCM(4510,4517) = ( 4510 × 4517) / 1
LCM(4510,4517) = 20371670 / 1
LCM(4510,4517) = 20371670
Properties of LCM 4510 and 4517
(i) The LCM of 4517 and 4510 is associative
LCM of 4510 and 4517 = LCM of 4517 and 4510
Related Least Common Multiples of 4510
Related Least Common Multiples of 4517
Frequently Asked Questions on LCM of 4510 and 4517
1. What is the LCM of 4510 and 4517?
Answer: LCM of 4510 and 4517 is 20371670.
2. 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.
3. What are the Factors of 4517?
Answer: Factors of 4517 are 1, 4517. There are 2 integers that are factors of 4517. The greatest factor of 4517 is 4517.
4. How to Find the LCM of 4510 and 4517?
Answer:
Least Common Multiple of 4510 and 4517 = 20371670
Step 1: Find the prime factorization of 4510
4510 = 2 x 5 x 11 x 41
Step 2: Find the prime factorization of 4517
4517 = 4517
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20371670 = 2 x 5 x 11 x 41 x 4517
Step 4: Therefore, the least common multiple of 4510 and 4517 is 20371670.