Least Common Multiple of 4522 and 4527
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4522 and 4527 the smallest integer that is 20471094 that is divisible by both numbers.
Least Common Multiple (LCM) of 4522 and 4527 is 20471094.
LCM(4522,4527) = 20471094
LCM of 4522 and 4527
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4522 and 4527 by Prime method
- Least Common Multiple of 4522 and 4527 with GCF Formula
LCM of 4522 and 4527 is 20471094
Least common multiple can be found by multiplying the highest exponent prime factors of 4522 and 4527. First we will calculate the prime factors of 4522 and 4527.
Prime Factorization of 4522
| 2 | 4522 |
| 7 | 2261 |
| 17 | 323 |
| 19 | 19 |
| 1 |
Prime factors of 4522 are 2, 7, 17,19. Prime factorization of 4522 in exponential form is:
4522 = 21×71×171×191
Prime Factorization of 4527
| 3 | 4527 |
| 3 | 1509 |
| 503 | 503 |
| 1 |
Prime factors of 4527 are 3,503. Prime factorization of 4527 in exponential form is:
4527 = 32×5031
Now multiplying the highest exponent prime factors to calculate the LCM of 4522 and 4527.
LCM(4522,4527) = 21×32×71×171×191×5031
LCM(4522,4527) = 20471094
Factors of 4522
List of positive integer factors of 4522 that divides 4522 without a remainder.
1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 646, 2261, 4522
Factors of 4527
List of positive integer factors of 4527 that divides 4527 without a remainder.
1, 3, 9, 503, 1509, 4527
Least Common Multiple of 4522 and 4527 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4522 and 4527, than apply into the LCM equation.
GCF(4522,4527) = 1
LCM(4522,4527) = ( 4522 × 4527) / 1
LCM(4522,4527) = 20471094 / 1
LCM(4522,4527) = 20471094
Properties of LCM 4522 and 4527
(i) The LCM of 4527 and 4522 is associative
LCM of 4522 and 4527 = LCM of 4527 and 4522
Related Least Common Multiples of 4522
Related Least Common Multiples of 4527
Frequently Asked Questions on LCM of 4522 and 4527
1. What is the LCM of 4522 and 4527?
Answer: LCM of 4522 and 4527 is 20471094.
2. What are the Factors of 4522?
Answer: Factors of 4522 are 1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 646, 2261, 4522. There are 16 integers that are factors of 4522. The greatest factor of 4522 is 4522.
3. What are the Factors of 4527?
Answer: Factors of 4527 are 1, 3, 9, 503, 1509, 4527. There are 6 integers that are factors of 4527. The greatest factor of 4527 is 4527.
4. How to Find the LCM of 4522 and 4527?
Answer:
Least Common Multiple of 4522 and 4527 = 20471094
Step 1: Find the prime factorization of 4522
4522 = 2 x 7 x 17 x 19
Step 2: Find the prime factorization of 4527
4527 = 3 x 3 x 503
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20471094 = 2 x 3 x 3 x 7 x 17 x 19 x 503
Step 4: Therefore, the least common multiple of 4522 and 4527 is 20471094.