Least Common Multiple of 4521 and 4529
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4521 and 4529 the smallest integer that is 20475609 that is divisible by both numbers.
Least Common Multiple (LCM) of 4521 and 4529 is 20475609.
LCM(4521,4529) = 20475609
LCM of 4521 and 4529
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4521 and 4529 by Prime method
- Least Common Multiple of 4521 and 4529 with GCF Formula
LCM of 4521 and 4529 is 20475609
Least common multiple can be found by multiplying the highest exponent prime factors of 4521 and 4529. First we will calculate the prime factors of 4521 and 4529.
Prime Factorization of 4521
| 3 | 4521 |
| 11 | 1507 |
| 137 | 137 |
| 1 |
Prime factors of 4521 are 3, 11,137. Prime factorization of 4521 in exponential form is:
4521 = 31×111×1371
Prime Factorization of 4529
| 7 | 4529 |
| 647 | 647 |
| 1 |
Prime factors of 4529 are 7,647. Prime factorization of 4529 in exponential form is:
4529 = 71×6471
Now multiplying the highest exponent prime factors to calculate the LCM of 4521 and 4529.
LCM(4521,4529) = 31×71×111×1371×6471
LCM(4521,4529) = 20475609
Factors of 4521
List of positive integer factors of 4521 that divides 4521 without a remainder.
1, 3, 11, 33, 137, 411, 1507, 4521
Factors of 4529
List of positive integer factors of 4529 that divides 4529 without a remainder.
1, 7, 647, 4529
Least Common Multiple of 4521 and 4529 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4521 and 4529, than apply into the LCM equation.
GCF(4521,4529) = 1
LCM(4521,4529) = ( 4521 × 4529) / 1
LCM(4521,4529) = 20475609 / 1
LCM(4521,4529) = 20475609
Properties of LCM 4521 and 4529
(i) The LCM of 4529 and 4521 is associative
LCM of 4521 and 4529 = LCM of 4529 and 4521
Related Least Common Multiples of 4521
Related Least Common Multiples of 4529
Frequently Asked Questions on LCM of 4521 and 4529
1. What is the LCM of 4521 and 4529?
Answer: LCM of 4521 and 4529 is 20475609.
2. What are the Factors of 4521?
Answer: Factors of 4521 are 1, 3, 11, 33, 137, 411, 1507, 4521. There are 8 integers that are factors of 4521. The greatest factor of 4521 is 4521.
3. What are the Factors of 4529?
Answer: Factors of 4529 are 1, 7, 647, 4529. There are 4 integers that are factors of 4529. The greatest factor of 4529 is 4529.
4. How to Find the LCM of 4521 and 4529?
Answer:
Least Common Multiple of 4521 and 4529 = 20475609
Step 1: Find the prime factorization of 4521
4521 = 3 x 11 x 137
Step 2: Find the prime factorization of 4529
4529 = 7 x 647
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20475609 = 3 x 7 x 11 x 137 x 647
Step 4: Therefore, the least common multiple of 4521 and 4529 is 20475609.